1 00:00:01,010 --> 00:00:08,540 Students in this video, let's discuss the questions that were part of the geometry quiz now before 2 00:00:08,540 --> 00:00:13,730 you watch this video, make sure that you have attempted all the questions in the quiz. 3 00:00:14,150 --> 00:00:14,600 All right. 4 00:00:14,780 --> 00:00:16,720 Let's get started with the first question. 5 00:00:17,540 --> 00:00:23,170 The first question says three identical circles are tangent to each other. 6 00:00:23,570 --> 00:00:31,850 This shaded region is 36 square root of three, minus 18 by find the area of the three circles taken 7 00:00:31,850 --> 00:00:32,360 together. 8 00:00:32,600 --> 00:00:33,080 All right. 9 00:00:33,320 --> 00:00:36,600 But we have to find the area of these three circles. 10 00:00:36,890 --> 00:00:38,360 What's the answer to this question? 11 00:00:38,630 --> 00:00:43,960 The correct answer is option E that is under an eight by now. 12 00:00:44,000 --> 00:00:45,230 How do we approach this? 13 00:00:45,440 --> 00:00:49,290 It's given that these three circles are identical. 14 00:00:49,550 --> 00:00:57,050 So let them be of radius are therefore this distances are and these distances also are similarly over 15 00:00:57,050 --> 00:01:01,180 here you have R and R and here also you have R and R. 16 00:01:01,460 --> 00:01:08,180 So triangle ABC is an equilateral triangle with each side equal to two R right now. 17 00:01:08,270 --> 00:01:14,990 The area of an equal triangle is given by Route three by four in two sides square. 18 00:01:14,990 --> 00:01:18,410 The site over here is two, so that's Route three by four. 19 00:01:18,410 --> 00:01:22,480 In the two are square, which is equal to room three are square. 20 00:01:22,850 --> 00:01:23,270 All right. 21 00:01:23,570 --> 00:01:32,240 Now, this shaded region over here would be the area of this triangle minus the area of this segment, 22 00:01:32,450 --> 00:01:35,720 minus the area of this segment, minus the area of the segment. 23 00:01:35,750 --> 00:01:36,170 All right. 24 00:01:36,380 --> 00:01:41,420 Now, because there's an equal triangle, these angles will be 60 degrees right now. 25 00:01:41,580 --> 00:01:44,170 Then we can easily find the area of this segment. 26 00:01:44,180 --> 00:01:44,530 Right. 27 00:01:44,720 --> 00:01:50,720 That would be 60 by 316 to Pyar Square, because if the angle is 360 degrees. 28 00:01:52,290 --> 00:01:54,390 The area of the segment is Byaah Square. 29 00:01:54,420 --> 00:01:56,880 That is the whole circle right now. 30 00:01:56,910 --> 00:02:04,890 Therefore, if the angle is 60 degrees, the area would be Pyar Square, divided by 360 into 60. 31 00:02:05,640 --> 00:02:07,080 That's what we have over here. 32 00:02:07,350 --> 00:02:10,760 Now, we have three such segments that we multiply with three. 33 00:02:10,980 --> 00:02:18,000 Therefore, the shaded area is route three are square minus three to sixty by 360 by our square. 34 00:02:18,390 --> 00:02:22,860 This simplifies to Route three are square minus Pyar Square by two. 35 00:02:23,100 --> 00:02:28,920 And it's given that this is equal to 36 through three minus 18 by now. 36 00:02:28,920 --> 00:02:34,350 Over here on solving, you can see that our square is equal to 36. 37 00:02:34,350 --> 00:02:34,670 Right. 38 00:02:34,860 --> 00:02:37,140 And over here you have our square by two. 39 00:02:37,440 --> 00:02:38,750 That gives you 18. 40 00:02:39,030 --> 00:02:43,090 Therefore our square is equal to 36 to our is equal to six. 41 00:02:43,410 --> 00:02:49,250 Therefore, the area of one circle will be Pyar Square, which is right into 36. 42 00:02:49,540 --> 00:02:54,660 The area of all three circles taken together is three in the square, which is equal to one hundred 43 00:02:54,660 --> 00:02:57,990 and eight by which is your option eight. 44 00:03:01,420 --> 00:03:09,880 Let's read the next question in the figure below, C is equal to is equal to any one could draw a circle 45 00:03:09,880 --> 00:03:13,510 with Base B as the center, OK? 46 00:03:14,610 --> 00:03:20,570 And having A and B on the circle find angle BDA. 47 00:03:21,710 --> 00:03:27,500 This is the angle that we need to find, all right, but one could draw a circle with B as the center 48 00:03:27,740 --> 00:03:31,770 and having E and the name on the circle. 49 00:03:32,150 --> 00:03:32,620 All right. 50 00:03:32,810 --> 00:03:38,770 Now, the answer to this question is option B. That's 72 degrees. 51 00:03:39,110 --> 00:03:41,330 Now let's see how to do this. 52 00:03:41,450 --> 00:03:43,850 It's given that BK's equal to SC. 53 00:03:43,980 --> 00:03:49,210 Therefore, these two angles will be equal because BKE is isosceles triangle. 54 00:03:49,520 --> 00:03:55,070 Similarly, it's also given that X equal to 80 A.D., an isosceles triangle. 55 00:03:55,290 --> 00:03:57,710 Therefore, these two angles will be equal. 56 00:03:57,710 --> 00:04:01,280 That's Angle X and angle ADC. 57 00:04:01,610 --> 00:04:02,080 All right. 58 00:04:02,300 --> 00:04:07,400 Now you can see that X is equal to Y plus Y, right? 59 00:04:07,400 --> 00:04:15,620 Because this angle here is an exterior angle for triangle ABC, therefore X, Y plus Y, because the 60 00:04:15,620 --> 00:04:19,790 exterior angle is equal to the sum of the interior opposite angles. 61 00:04:20,150 --> 00:04:20,570 All right. 62 00:04:20,580 --> 00:04:24,080 So we have to wait now over here. 63 00:04:24,080 --> 00:04:32,100 You can see that angle, b, b, e, d, this angle over here will be equal to and will be the B, the. 64 00:04:32,360 --> 00:04:33,220 Why is that so. 65 00:04:33,380 --> 00:04:41,690 Because B and we have to be equal because they are really a right vs the center of the circle and and 66 00:04:41,690 --> 00:04:43,280 the light on the circle. 67 00:04:43,280 --> 00:04:45,620 So B is radius similarly. 68 00:04:45,620 --> 00:04:47,060 B is it radius. 69 00:04:47,420 --> 00:04:53,980 Alright now you can see that Y this way over here, plus 180, minus two X. 70 00:04:54,020 --> 00:04:55,350 That's this angle over here. 71 00:04:55,350 --> 00:04:55,590 Right. 72 00:04:55,900 --> 00:05:02,270 So this plus this, that's this angle over here has to be equal to this angle which is X because we 73 00:05:02,270 --> 00:05:07,910 as equal to beauty and therefore be it is an isosceles triangle but these two are equal. 74 00:05:08,180 --> 00:05:13,100 Now that simplifies to Y plus one is equal to three X. 75 00:05:13,430 --> 00:05:20,660 Now we know that Y plus one, it can be written at six Y because X is equal to two way. 76 00:05:20,660 --> 00:05:20,910 Right. 77 00:05:20,930 --> 00:05:24,830 So three X is equal to six Y and on simplifying you will get one. 78 00:05:24,830 --> 00:05:30,230 It is equal to five or Y is equal to 180 by five which is equal to thirty six. 79 00:05:30,560 --> 00:05:36,020 And hence you can find X, which is what we need to find because X is equal to white. 80 00:05:36,050 --> 00:05:39,380 That's 236, which is equal to seventy two degrees. 81 00:05:39,590 --> 00:05:41,690 And that is your option B. 82 00:05:45,540 --> 00:05:53,220 Let's read the next question in the figure below ABCDE CEF is a regular hexagon, the perimeter of Triangle 83 00:05:53,220 --> 00:05:56,370 BATF is equal to six Route three. 84 00:05:57,120 --> 00:05:57,660 All right. 85 00:05:58,670 --> 00:06:02,760 Find the perimeter of the hexagon, so we need to find the perimeter of the hexagon. 86 00:06:03,080 --> 00:06:04,670 But what's the answer to this question? 87 00:06:04,970 --> 00:06:09,330 The correct answer to this question is option B. That's 12. 88 00:06:09,860 --> 00:06:12,490 Now, remember, this is a regular hexagon. 89 00:06:12,590 --> 00:06:19,130 So we have seen in a previous video that you can split it into six equilateral triangles like this right 90 00:06:19,400 --> 00:06:24,960 now in equilateral triangle A, B, or BP is the height, right. 91 00:06:25,160 --> 00:06:30,590 And height of any greater triangle is giving us Route three by two in two sides right now. 92 00:06:30,950 --> 00:06:39,100 B, if you can see, is two times BP, because BP and B, will be equal B, B, the height of an equal 93 00:06:39,110 --> 00:06:39,680 Ranglin. 94 00:06:39,680 --> 00:06:47,120 If B is also the height of the triangle, or if the B.F. is equal to two times BP, that's equal to 95 00:06:47,120 --> 00:06:48,250 Route three. 96 00:06:49,150 --> 00:06:55,800 All right, so that's the side of the equilateral triangle over here, so similarly, Beauty and D.F. 97 00:06:55,810 --> 00:07:02,910 is also Route three and the perimeter of this triangle, BATF is equal to three times Route three, 98 00:07:03,160 --> 00:07:06,010 and that is given a six Route three right in the question. 99 00:07:06,220 --> 00:07:09,130 Therefore, we get that is equal to two. 100 00:07:09,130 --> 00:07:09,470 Right. 101 00:07:09,670 --> 00:07:13,000 And if is equal to do is the side of the hexagon. 102 00:07:13,150 --> 00:07:16,000 Therefore, the perimeter of the hexagon will be six in the two. 103 00:07:16,180 --> 00:07:17,530 That is equal to twelve. 104 00:07:18,010 --> 00:07:19,810 And that is option B. 105 00:07:23,900 --> 00:07:25,260 Let's read the next question. 106 00:07:25,580 --> 00:07:31,860 Find the length of a diagonal through the center of a regular hexagon offsite, ten centimeter. 107 00:07:32,120 --> 00:07:32,600 All right. 108 00:07:32,750 --> 00:07:34,220 What's the answer to the question? 109 00:07:34,640 --> 00:07:39,140 The answer to this question is two times, then that is 20 centimeter. 110 00:07:39,500 --> 00:07:39,970 All right. 111 00:07:40,130 --> 00:07:45,330 Again, we have our hexagon over here and we have split it into six equilateral triangles. 112 00:07:45,560 --> 00:07:52,840 Now, over here, you can see that B is A diagonal, which is passing through the center of the hexagon. 113 00:07:52,850 --> 00:07:53,200 Right. 114 00:07:53,510 --> 00:07:59,740 And you can see that B or is equal to or is equal to side of the hexagon. 115 00:07:59,750 --> 00:08:00,140 Right. 116 00:08:00,320 --> 00:08:05,140 And the side is then therefore B is equal to two times the side of the hexagon. 117 00:08:05,330 --> 00:08:08,540 That's 20 centimeter, which is option A. 118 00:08:12,220 --> 00:08:19,810 Let's read the next question, BQ artists are calling your points the line on the x axis is nearer to 119 00:08:19,810 --> 00:08:20,440 the origin. 120 00:08:20,740 --> 00:08:27,040 Q is second nearest to the origin of his third nearest to the origin and is farthest from the origin 121 00:08:27,430 --> 00:08:27,670 p. 122 00:08:27,670 --> 00:08:34,210 Q is three centimeter pieces, tends to be R seven centimeter and Q R is what we need to find. 123 00:08:34,550 --> 00:08:37,390 Try to draw a diagram when you get these type of questions. 124 00:08:37,690 --> 00:08:39,250 But what's the answer to this question. 125 00:08:39,580 --> 00:08:43,090 The correct answer is option B, that's four centimetre. 126 00:08:43,120 --> 00:08:43,450 Right. 127 00:08:43,800 --> 00:08:46,380 You can just imagine that the origin is somewhere over here. 128 00:08:46,690 --> 00:08:53,370 Now in the question we can find that the order of the boyens is in this manner because it's given PS 129 00:08:53,370 --> 00:08:57,160 and to the origin, to his second nearest to the origin, etc.. 130 00:08:57,820 --> 00:09:02,560 Now it's given that P Q is three centimetres P R is seven centimeters. 131 00:09:02,560 --> 00:09:02,920 Right. 132 00:09:03,040 --> 00:09:04,680 And we need to find QR. 133 00:09:04,840 --> 00:09:10,260 So QR will be P, R minus P, Q that seven minus three which is equal to four centimetre. 134 00:09:10,480 --> 00:09:12,160 That is option B. 135 00:09:15,680 --> 00:09:22,430 Let's read the next question, the volume of a cylinder is three eight eight five six centimetre cube 136 00:09:22,820 --> 00:09:25,340 express this in millimeter cube. 137 00:09:25,520 --> 00:09:26,030 All right. 138 00:09:26,630 --> 00:09:28,700 So what's the correct answer to this question? 139 00:09:29,060 --> 00:09:35,870 The correct answer is option eight, because one centimetre cube is one centimeter into one centimeter 140 00:09:36,050 --> 00:09:37,350 into one centimeter. 141 00:09:37,670 --> 00:09:40,760 We know that one centimeter is equal to 10 millimeter. 142 00:09:41,060 --> 00:09:41,440 Right. 143 00:09:41,660 --> 00:09:46,400 So in zero one centimeter, 10 millimeter over here also we have 10 millimeter. 144 00:09:46,400 --> 00:09:49,220 And over here also we have 10 millimeter. 145 00:09:49,640 --> 00:09:52,220 When you multiply these, you get a thousand millimetre cube. 146 00:09:52,400 --> 00:09:55,390 So one centimetre cube is equal to a thousand millimetre cube. 147 00:09:55,670 --> 00:10:02,390 Therefore, three eight eight five six centimetre cube is equal to create five three eight eight five 148 00:10:02,390 --> 00:10:04,490 six in two thousand millimeter cube. 149 00:10:04,700 --> 00:10:08,000 That gives you the answer as option A. 150 00:10:11,100 --> 00:10:18,900 Let's read the next question in the figure ABCDE and FDX asks, where's the ratio of 80 of ABCDE to 151 00:10:18,900 --> 00:10:23,270 the area in between the two squares is 36, is 220. 152 00:10:23,490 --> 00:10:27,060 That is the area of ABCDE to the area that's in between. 153 00:10:27,060 --> 00:10:28,370 That is this part of the year. 154 00:10:28,830 --> 00:10:34,770 This ratio is 36 is 220, the site of about 10 centimeters. 155 00:10:34,770 --> 00:10:37,280 This side over here find itself. 156 00:10:37,680 --> 00:10:38,160 All right. 157 00:10:38,430 --> 00:10:39,930 What's the answer to this question? 158 00:10:40,280 --> 00:10:45,060 The answer to this question is option B, that is 20 by three centimeter. 159 00:10:45,390 --> 00:10:51,300 Now let's take the ratio of area of ABCDE and area of. 160 00:10:52,040 --> 00:11:01,270 ABC minus 80 of FGF, that's what is given us, that is by 20, 36 is the area of ABC and ABC minus 161 00:11:01,280 --> 00:11:01,730 EVGA. 162 00:11:01,770 --> 00:11:06,120 It will give you this intermediate area, and that's 36 by 20. 163 00:11:06,470 --> 00:11:15,680 Now, if the area of ABC is 36 X, then the area of FGF will be thirty six X minus the intermediate 164 00:11:15,680 --> 00:11:16,100 area. 165 00:11:16,250 --> 00:11:18,620 That's thirty six X minus 20 X. 166 00:11:18,770 --> 00:11:20,690 That's equal to 16 X. 167 00:11:20,990 --> 00:11:27,410 All right, now let's take the ratio of the areas of the two squares that that's 36 X by 16 X. 168 00:11:27,680 --> 00:11:33,830 That will be equal to the ratio of the squares of the corresponding sides, which is A square by B square 169 00:11:33,830 --> 00:11:35,000 right to ABI. 170 00:11:35,000 --> 00:11:38,440 B is equal to six by four because this X and this gets cancelled. 171 00:11:38,900 --> 00:11:46,040 So Abi B is six by four and we know that is equal to ten because that's given and F is what. 172 00:11:48,690 --> 00:11:56,760 We need to find out, so a baby six by four, the article written by F. NCF is equal to 10 in the two 173 00:11:56,760 --> 00:12:01,800 by three, which is equal to twenty by three centimeters, which is option B. 174 00:12:05,010 --> 00:12:07,230 Let's proceed to the next question. 175 00:12:09,250 --> 00:12:18,340 In the hexagon ABCDE, Abe is equal to four centimeter, all right, and BKS five centimeters is six 176 00:12:18,340 --> 00:12:23,130 centimeter, DEA is five centimeter, F is seven centimeter. 177 00:12:23,500 --> 00:12:29,590 Which of the following cannot be the length of if not, the figure is not drawn to scale. 178 00:12:29,890 --> 00:12:30,310 All right. 179 00:12:30,520 --> 00:12:32,020 What's the answer to this question? 180 00:12:32,350 --> 00:12:36,750 The answer to this question is option E, that's twenty seven centimetre. 181 00:12:36,770 --> 00:12:37,120 Right. 182 00:12:37,300 --> 00:12:41,220 For this we join EMC and D and E and E. 183 00:12:41,350 --> 00:12:47,530 Now over here we have a triangle ABC and hence we know that some of two sides of a triangle has to be 184 00:12:47,740 --> 00:12:49,210 greater than the third side. 185 00:12:49,450 --> 00:12:55,270 Therefore AC has to be less than four plus five, which is equal to nine. 186 00:12:55,540 --> 00:12:55,990 All right. 187 00:12:56,170 --> 00:12:58,810 Now, over here, this side is less than nine. 188 00:12:58,840 --> 00:13:00,610 That's what we just now found out. 189 00:13:00,790 --> 00:13:07,600 Therefore, it has to be less than nine plus six, which is 15 to 80 is less than nine plus. 190 00:13:08,020 --> 00:13:09,850 That is it is less than 15. 191 00:13:10,550 --> 00:13:12,430 So let me write that over here now. 192 00:13:12,430 --> 00:13:15,070 Therefore, E will be less than twenty. 193 00:13:15,280 --> 00:13:15,620 Right. 194 00:13:16,000 --> 00:13:23,380 That's fifteen plus five for E has to be less than twenty and in a similar manner if has to be less 195 00:13:23,380 --> 00:13:24,850 than twenty seven. 196 00:13:24,850 --> 00:13:25,230 Right. 197 00:13:25,360 --> 00:13:27,250 So if has to be less than twenty seven. 198 00:13:27,460 --> 00:13:30,910 Therefore if cannot be twenty seven centimetre. 199 00:13:31,190 --> 00:13:32,830 That's what we have to find out. 200 00:13:32,830 --> 00:13:33,200 Right. 201 00:13:33,370 --> 00:13:36,070 Therefore the answer to this question is option eight. 202 00:13:39,860 --> 00:13:48,500 Let's read the next question in a triangle, ABC, the site BKS centimeter the length of the altitude 203 00:13:48,500 --> 00:13:52,160 through a two sided B.C. is equal to one centimeter. 204 00:13:52,190 --> 00:13:52,600 All right. 205 00:13:52,850 --> 00:13:55,910 So whenever you have these questions, draw a rough sketch. 206 00:13:56,300 --> 00:13:57,680 You have triangle ABC. 207 00:13:58,200 --> 00:13:58,820 All right. 208 00:13:59,090 --> 00:14:05,900 Now, it's given that the length of the altitude through a two sided BKK is equal to Y centimeters. 209 00:14:05,900 --> 00:14:07,910 So this is Y centimeter. 210 00:14:08,090 --> 00:14:14,900 And it's given that the side BKS X centimeter, the area of triangle ABC is equal to two square centimeters. 211 00:14:14,930 --> 00:14:15,350 All right. 212 00:14:15,600 --> 00:14:20,510 So that means half into X and Y is equal to the middle square. 213 00:14:20,780 --> 00:14:27,020 Which of the following indicates the possible values of Y if X is greater than light? 214 00:14:27,440 --> 00:14:27,850 All right. 215 00:14:28,070 --> 00:14:30,030 So what is the answer to this question? 216 00:14:30,350 --> 00:14:36,470 The answer to this question is option C, that is why it has to be less than two. 217 00:14:36,650 --> 00:14:37,000 Right. 218 00:14:37,220 --> 00:14:38,630 Now, let's discuss why that is. 219 00:14:38,660 --> 00:14:44,680 So now over here, X and Y have to be positive as they are parts of a triangle. 220 00:14:44,690 --> 00:14:45,000 Right. 221 00:14:45,260 --> 00:14:48,740 But we don't need to take any negative values into consideration. 222 00:14:49,110 --> 00:14:49,610 All right. 223 00:14:49,760 --> 00:14:53,050 Now, it is half in the base in the height area. 224 00:14:53,180 --> 00:14:58,940 That's two is equal to half into X, Y, so X Y is equal to four. 225 00:14:59,270 --> 00:15:01,520 So this is what we get from the given information. 226 00:15:01,820 --> 00:15:05,480 But from this, I can say that X is equal to four by right now. 227 00:15:05,480 --> 00:15:13,490 It's given that X is greater than Y before by Y has to be greater than Y or four is greater than Y square 228 00:15:13,640 --> 00:15:15,590 or Y is less than two. 229 00:15:15,620 --> 00:15:20,000 So over here we don't take negative values because they are parts of a triangle. 230 00:15:20,210 --> 00:15:24,680 The Y has to be less than two and the correct answer is option C. 231 00:15:27,000 --> 00:15:34,650 Let's read the next question and Circle asks or as center, and we are two points on the circle such 232 00:15:34,650 --> 00:15:39,190 that the length of archabbey is split into 10 by three. 233 00:15:39,510 --> 00:15:42,360 It's given that the radius of the circle extends centimeter. 234 00:15:42,870 --> 00:15:44,870 Find the length of the cord a bit. 235 00:15:45,210 --> 00:15:45,670 All right. 236 00:15:45,900 --> 00:15:47,520 But what's the answer to this question? 237 00:15:47,910 --> 00:15:51,940 The answer to this question is option C, that is 10 centimeters. 238 00:15:52,360 --> 00:15:57,370 Right here we have our circle, this the center, and there are two points on the circle. 239 00:15:57,720 --> 00:16:01,940 Now, the length of the arc is given us by ten, by three. 240 00:16:01,950 --> 00:16:05,220 Right now, the circumference of the circle is to Pyar. 241 00:16:05,400 --> 00:16:09,300 That's to buy into ten because it's given that the radius is ten. 242 00:16:09,630 --> 00:16:16,020 Now if you take a circle to pi are right, the angle is 360 degree. 243 00:16:16,350 --> 00:16:24,450 Now if you have a length of arc as pi in ten by three, which is the length of the arc Abe, then the 244 00:16:24,450 --> 00:16:31,740 degree angle will be 360 by power into pi into ten by three to 360 by two. 245 00:16:31,740 --> 00:16:37,510 By ten into pi entertained by three and that simplifies to 60 degrees. 246 00:16:37,860 --> 00:16:40,950 Therefore we get that this angle over here. 247 00:16:41,910 --> 00:16:46,740 Is equal to 60 degrees, right, therefore, B. 248 00:16:48,040 --> 00:16:50,400 Is also equal to the radius, right? 249 00:16:50,560 --> 00:16:56,740 If this is 60 degrees and or is equal to O.B., so these two angles have to be equal, that means this 250 00:16:56,740 --> 00:17:02,950 is also 60 extra degree and this is also 60 degrees and triangle or maybe is an equilateral triangle 251 00:17:02,950 --> 00:17:03,850 right now. 252 00:17:03,880 --> 00:17:05,410 This is the radius, this the radius. 253 00:17:05,620 --> 00:17:08,410 And in an extended triangle, all sides are equal. 254 00:17:08,560 --> 00:17:11,440 Therefore, Abby also has to be equal to the radius. 255 00:17:11,650 --> 00:17:14,610 And it's given that the radius is equal to 10 centimeter. 256 00:17:14,830 --> 00:17:18,730 Therefore, the correct answer to this question is option C. 257 00:17:22,330 --> 00:17:23,630 Let's read the next question. 258 00:17:23,890 --> 00:17:26,710 Find the shaded area in centimeter square. 259 00:17:27,010 --> 00:17:32,410 Now it's given that ABCDE is a rectangle, but we need to find this shaded region already. 260 00:17:32,710 --> 00:17:34,420 What's the answer to this question? 261 00:17:34,780 --> 00:17:38,560 The correct answer is option C, that is 100 centimetres square. 262 00:17:38,920 --> 00:17:44,950 Now the shaded area is equal to the area of the rectangle minus the area of the triangle. 263 00:17:44,950 --> 00:17:50,110 Right Triangle PDC area of rectangle ABCDE extending to 20. 264 00:17:50,110 --> 00:17:51,520 That's been 20. 265 00:17:51,520 --> 00:17:55,730 Over here, an area of Triangle Park is half baked into height. 266 00:17:56,140 --> 00:18:01,720 That's half 20 to ten because this height over here also will be 10 centimeters. 267 00:18:01,750 --> 00:18:02,100 Right. 268 00:18:02,320 --> 00:18:03,790 That's this height itself. 269 00:18:04,150 --> 00:18:11,860 So that's half 2013 and that's 10 to 20 minus 20 by two, which is equal to 10 to 20 by two. 270 00:18:12,100 --> 00:18:14,470 That's hundred centimetre square. 271 00:18:14,690 --> 00:18:16,690 That's option C or here. 272 00:18:18,850 --> 00:18:24,940 All right, let's read the next question, Clara wants a house equidistant from the church, school 273 00:18:24,940 --> 00:18:25,710 and hospital. 274 00:18:26,080 --> 00:18:31,180 She plots these three in a map using the coordinate system as shown in the figure. 275 00:18:31,510 --> 00:18:33,340 Where should she buy her house? 276 00:18:33,670 --> 00:18:39,280 Because she wants to buy her house in a manner that renovated houses, for example, for houses over 277 00:18:39,280 --> 00:18:39,650 here. 278 00:18:39,970 --> 00:18:44,720 Then this distance, this distance and this distance has to be equal. 279 00:18:45,220 --> 00:18:46,960 Now, what's the answer to this question? 280 00:18:47,290 --> 00:18:49,680 The answer to this question is option E. 281 00:18:50,020 --> 00:18:57,040 You just need to find the sock'em center right, because with the Sagami center as the center, you 282 00:18:57,040 --> 00:19:00,940 can draw a circle that passes through these three points. 283 00:19:01,150 --> 00:19:03,530 And in that case, this is equal to the radius. 284 00:19:03,820 --> 00:19:05,620 This is equal to the radius. 285 00:19:05,620 --> 00:19:08,620 And this part also is equal to the radius. 286 00:19:08,620 --> 00:19:09,600 Right now. 287 00:19:09,610 --> 00:19:12,190 Over here, you have a right angle triangle, right? 288 00:19:12,490 --> 00:19:17,440 Because these two axis, you know, are at 90 degree angle with each other. 289 00:19:17,560 --> 00:19:22,540 Now, in a right angle triangle, it's very easy to find the circumstance that it will be the midpoint 290 00:19:22,540 --> 00:19:25,000 of the hypotenuse right to over here. 291 00:19:25,120 --> 00:19:27,250 The midpoint is seven plus zero by two. 292 00:19:27,250 --> 00:19:30,040 That's seven by two and 11 plus zero by two. 293 00:19:30,040 --> 00:19:31,060 That's one by two. 294 00:19:31,270 --> 00:19:34,420 Therefore, the Sock'Em Center is seven by two column, eleven by two. 295 00:19:34,600 --> 00:19:39,520 And that is the point where she should buy her house, which is option A. 296 00:19:43,310 --> 00:19:49,940 Let's read the next question, find angle, a plea, a plea, that's this angle over here, plus a QB, 297 00:19:50,120 --> 00:19:54,530 that's this angle over here, plus B or C plus C SD. 298 00:19:54,530 --> 00:19:58,620 So we need to find this angle plus this angle plus this angle plus this angle. 299 00:19:59,060 --> 00:19:59,450 All right. 300 00:19:59,450 --> 00:20:01,040 So what's the answer to this question? 301 00:20:01,340 --> 00:20:06,620 The correct answer to this question is option C, that's 360 degrees right now. 302 00:20:06,620 --> 00:20:08,540 Over here is an interesting problem. 303 00:20:08,810 --> 00:20:15,710 We know that nine percent plus 11 plus 12 is equal to 360 degree because ABCDs is a quadrilateral right 304 00:20:15,920 --> 00:20:16,330 now. 305 00:20:16,520 --> 00:20:22,310 Over here, you can also see that one plus nine plus eight is equal to 180 degree because this is a 306 00:20:22,310 --> 00:20:23,470 straight angle, right? 307 00:20:23,630 --> 00:20:29,630 Similarly, two plus ten plus three is also a 180 degree or plus eleven plus five is 180 degree. 308 00:20:29,660 --> 00:20:31,900 Seven plus 12 plus six is 180 degree. 309 00:20:32,170 --> 00:20:36,230 So if you add this up, you have 180 in two for now. 310 00:20:36,260 --> 00:20:39,370 Over here you have nine, 10, 11 and 12. 311 00:20:39,380 --> 00:20:41,840 And we know that when you add them, you get 360. 312 00:20:42,080 --> 00:20:43,370 But we take that out. 313 00:20:43,610 --> 00:20:49,040 And the remaining part, one plus eight plus two plus three plus four plus five plus six plus seven 314 00:20:49,040 --> 00:20:58,010 will be one 18 to four minus 360, which is nothing but 360 because we are it to forestry, 16 to 360 315 00:20:58,280 --> 00:21:00,970 to minus 360 gives you 360. 316 00:21:01,310 --> 00:21:01,710 All right. 317 00:21:02,000 --> 00:21:06,770 Now over here, these are triangles right there for one plus two. 318 00:21:06,770 --> 00:21:09,020 Plus this angle over here is 180 degree. 319 00:21:10,350 --> 00:21:17,010 Eight plus seven plus angle PS 180 degree six plus five plus angle S is 180 degree and three plus four 320 00:21:17,010 --> 00:21:19,220 plus angle or is equal to 180 degrees. 321 00:21:19,230 --> 00:21:20,360 So we write that over here. 322 00:21:20,850 --> 00:21:24,750 If you add these up, that's 118 to four because there are four triangles. 323 00:21:25,050 --> 00:21:30,630 Now over here, you can see that these parts are there eight, seven, one, two, three, four, six, 324 00:21:30,630 --> 00:21:30,870 five. 325 00:21:31,380 --> 00:21:33,080 These are the eight parts over here. 326 00:21:33,210 --> 00:21:35,600 And we know that they add up to 360 degree. 327 00:21:36,000 --> 00:21:43,080 So we take that out and we are left with people as Q Plus our places is equal to 316 to minus 360, 328 00:21:43,320 --> 00:21:44,910 which is equal to 360 degree. 329 00:21:45,120 --> 00:21:47,100 And that is your option C. 330 00:21:51,790 --> 00:21:56,500 Let's read the next question mark bought a bed that is in the shape of a square. 331 00:21:56,530 --> 00:21:56,830 All right. 332 00:21:57,130 --> 00:22:00,160 He bought a bed sheet that is in the shape of a circle. 333 00:22:00,310 --> 00:22:05,380 The bed sheet is such that it hangs out excellently on the four sides of the bed. 334 00:22:05,680 --> 00:22:10,120 The side of the bed is to be does find the area of the bed sheet. 335 00:22:10,450 --> 00:22:10,900 All right. 336 00:22:11,200 --> 00:22:12,680 What's the answer to this question? 337 00:22:13,180 --> 00:22:16,080 The answer is option B, that is to paint. 338 00:22:16,450 --> 00:22:22,330 This is a case where a circle is circumscribing square. 339 00:22:23,170 --> 00:22:23,530 Right. 340 00:22:23,680 --> 00:22:30,890 You can see that over here, this much part will be hanging out of the bed sheet similarly on this side. 341 00:22:31,150 --> 00:22:33,040 This part will be hanging out, right. 342 00:22:33,490 --> 00:22:35,410 It's equal on all sides. 343 00:22:35,440 --> 00:22:40,360 That's why the circle is circumscribing this square. 344 00:22:40,720 --> 00:22:41,190 All right. 345 00:22:41,350 --> 00:22:48,490 Now, over here, you can see that AC is a diagonal of the square as well as diameter of the circle. 346 00:22:48,610 --> 00:22:50,360 Right over here. 347 00:22:50,380 --> 00:22:51,200 This is two. 348 00:22:51,250 --> 00:22:52,170 This is also true. 349 00:22:52,360 --> 00:22:58,080 Therefore, diagonal of the square will be root of two squared plus two square, which is equal to two. 350 00:22:58,270 --> 00:23:00,660 That's equal to the diameter of the circle. 351 00:23:00,880 --> 00:23:05,790 Therefore, radius of the circle will be half of room, which is equal to rule two. 352 00:23:06,070 --> 00:23:12,430 And we know area of a certainly spire square that spy into room to square, which gives you two pi, 353 00:23:12,700 --> 00:23:14,410 which is option B. 354 00:23:18,690 --> 00:23:19,990 Let's read the next question. 355 00:23:20,280 --> 00:23:26,460 Two sides of a triangle of six centimetre and five centimeter, the third side length is in between. 356 00:23:26,760 --> 00:23:27,240 All right. 357 00:23:27,450 --> 00:23:29,130 Now, what's the answer to this question? 358 00:23:29,400 --> 00:23:35,760 The correct answer is option E, that's between one centimeter and 11 centimeter, because we know that 359 00:23:35,760 --> 00:23:39,000 some of two sites as to be greater than the third side. 360 00:23:39,180 --> 00:23:39,460 Right. 361 00:23:39,660 --> 00:23:44,210 So six plus five, which is equal to 11, has to be greater than the third side. 362 00:23:44,520 --> 00:23:50,070 But we know the third side is less than one centimeter and difference of two sides of a triangle that's 363 00:23:50,070 --> 00:23:54,180 six minus five, which is equal to one as to be less than the third side. 364 00:23:54,370 --> 00:23:56,070 The one is less than the third side. 365 00:23:56,250 --> 00:24:00,580 So the third side has to be between one centimeter and one centimeter. 366 00:24:00,780 --> 00:24:03,390 And note, it cannot be 11 or one. 367 00:24:03,390 --> 00:24:04,410 It's between them. 368 00:24:04,440 --> 00:24:04,820 All right. 369 00:24:05,070 --> 00:24:06,970 So that's something that you need to note. 370 00:24:07,390 --> 00:24:11,810 So the answer to this question is option A. 371 00:24:14,660 --> 00:24:17,730 Let's read the next question, there is a gigantic tree. 372 00:24:18,390 --> 00:24:20,270 Dawn is moving away from the tree. 373 00:24:20,450 --> 00:24:26,630 It takes him two minutes to change the angle of elevation from 60 degrees to 30 degrees. 374 00:24:27,050 --> 00:24:30,350 The height of the tree is 30 meters behind his speed. 375 00:24:30,770 --> 00:24:31,210 All right. 376 00:24:31,580 --> 00:24:33,060 What's the answer to this question? 377 00:24:33,560 --> 00:24:40,150 The answer to this question is option B. That square root of three by six meters per second already 378 00:24:40,340 --> 00:24:42,740 over here, we have drawn a rough diagram. 379 00:24:42,950 --> 00:24:45,390 This is the tree, which is 30 meters in height. 380 00:24:45,710 --> 00:24:49,760 Now, initially, he was over here and the angle of elevation was 60 degrees. 381 00:24:50,030 --> 00:24:51,830 Now he's moving away from the tree. 382 00:24:52,100 --> 00:24:55,780 And after two minutes, his angle of elevation is 30 degrees. 383 00:24:56,120 --> 00:24:56,510 All right. 384 00:24:56,690 --> 00:25:02,900 Now over here and 60 will be 30 Bayway, 20 days opposite side by side. 385 00:25:03,110 --> 00:25:11,300 So 10 sixty's, 30 by white and we note and 60 023, 30 by Y is equal to Rotary or Y is equal to 30 386 00:25:11,310 --> 00:25:13,800 barratry, which is equal to Bend Road three. 387 00:25:14,060 --> 00:25:14,540 All right. 388 00:25:14,780 --> 00:25:18,020 Now ten 30 will be 30 by X plus white. 389 00:25:18,140 --> 00:25:20,870 And we know 10 is equal to one barratry. 390 00:25:20,870 --> 00:25:21,200 Right. 391 00:25:21,350 --> 00:25:26,240 The one barratry is equal to 30 by X plus white and cross multiplying. 392 00:25:26,240 --> 00:25:31,730 You get X plus why is equal to 30 Enduro three and we already know why is standard three. 393 00:25:31,940 --> 00:25:37,320 Therefore X has to be thirty three minus two and three, which is equal to twenty three. 394 00:25:37,790 --> 00:25:38,240 All right. 395 00:25:38,480 --> 00:25:41,150 Now we need to find the speed with which he moved. 396 00:25:41,390 --> 00:25:43,220 Speed is equal or distance by time. 397 00:25:43,430 --> 00:25:48,380 The distance that he moved is X which is equal to twenty three meters. 398 00:25:48,530 --> 00:25:48,930 Right. 399 00:25:49,070 --> 00:25:51,950 And all the answer options are in meters per second. 400 00:25:51,950 --> 00:25:52,300 Right. 401 00:25:52,550 --> 00:25:59,480 But we need to convert two minutes into seconds or two minutes is two in the sixty seconds to the speed 402 00:25:59,480 --> 00:26:06,320 is twenty three by two into sixty which is equal to room three by six meters per second, which is option 403 00:26:06,470 --> 00:26:07,430 Deora here. 404 00:26:10,520 --> 00:26:16,640 Let's read the next question, a cuboid and a cube are placed on a table, the dimensions of the cuboid 405 00:26:16,640 --> 00:26:22,200 are three in the four and five, and that of the cube is for India, for India, for wine. 406 00:26:22,220 --> 00:26:28,830 The square of the ratio of the length of the body, diagonal of the cuboid to that of the cube. 407 00:26:28,850 --> 00:26:34,810 So we need to find the body diagonal dimension of both and then finding the ratio and squared. 408 00:26:35,060 --> 00:26:35,450 All right. 409 00:26:35,450 --> 00:26:36,870 What's the answer to this question? 410 00:26:37,130 --> 00:26:40,340 It's option B. That's twenty five by twenty four. 411 00:26:40,730 --> 00:26:46,100 Body diagonal of the cuboid will be root of three squared plus four square plus five square. 412 00:26:46,400 --> 00:26:47,810 That's root of fifty. 413 00:26:47,990 --> 00:26:48,410 Right. 414 00:26:48,590 --> 00:26:53,150 And more diagonal of the cube will be root of four squared plus four squared plus four square. 415 00:26:53,420 --> 00:26:55,190 That's root forty eight. 416 00:26:55,280 --> 00:27:00,680 Right now if you square this and take the ratio you'll get fifty by forty eight. 417 00:27:00,950 --> 00:27:05,600 That is equal to twenty five by twenty four which is option B. 418 00:27:08,680 --> 00:27:15,250 All right, let's read the next question, of course, is equal to a ban is equal to one by be fined, 419 00:27:15,640 --> 00:27:16,930 one by a square. 420 00:27:18,440 --> 00:27:20,520 Minus one might be square. 421 00:27:20,840 --> 00:27:22,280 This is what we need to find out. 422 00:27:22,550 --> 00:27:24,120 But what's the answer to this question? 423 00:27:24,500 --> 00:27:27,650 The answer to this question is option C, that is one. 424 00:27:28,100 --> 00:27:28,460 All right. 425 00:27:28,460 --> 00:27:30,310 Let's try to do this now. 426 00:27:30,320 --> 00:27:31,730 We have two methods over here. 427 00:27:32,900 --> 00:27:38,420 This method over here, you just need to substitute the angle, if you take it as a forty five degree 428 00:27:38,570 --> 00:27:41,240 course is equal to one by two, right. 429 00:27:41,450 --> 00:27:42,600 That's it. 430 00:27:42,740 --> 00:27:44,390 And done is done. 431 00:27:44,390 --> 00:27:44,910 Forty five. 432 00:27:44,930 --> 00:27:47,230 That will be one to one baby. 433 00:27:47,330 --> 00:27:50,360 So if you take one by a square, right. 434 00:27:50,690 --> 00:27:54,020 That would be route to square, which is equal to two. 435 00:27:54,050 --> 00:27:54,320 Right. 436 00:27:54,350 --> 00:28:00,880 So this is one by a square and one by B square will be one square which is one itself. 437 00:28:00,890 --> 00:28:01,160 Right. 438 00:28:01,190 --> 00:28:04,970 So this is one by square, so one by a square minus. 439 00:28:04,970 --> 00:28:06,880 One by B square is two minus one. 440 00:28:06,890 --> 00:28:08,270 But this one itself. 441 00:28:08,600 --> 00:28:08,950 All right. 442 00:28:08,960 --> 00:28:13,270 And that gives you see as the answer or all the other options are eliminated. 443 00:28:13,520 --> 00:28:22,040 Now, another way of doing this is one by a square is equal to one because square red square and one 444 00:28:22,040 --> 00:28:26,440 by B Square is the same as Stand Square because Danny's one baby. 445 00:28:26,750 --> 00:28:28,360 Now, we just need to simplify this. 446 00:28:28,640 --> 00:28:32,210 We know that ten is equal to sign a vacancy. 447 00:28:32,420 --> 00:28:39,890 So I can rewrite this one because square a minus sine square here, because right now over here, this 448 00:28:40,190 --> 00:28:45,230 is one minus sine square eight because square and one minus nine square. 449 00:28:45,230 --> 00:28:47,660 It is the same as square. 450 00:28:49,320 --> 00:28:52,500 And that becomes scary because square, which is equal to one. 451 00:28:52,770 --> 00:28:55,920 Now let's see why one minus nine square is equal to Cost Square. 452 00:28:56,490 --> 00:29:01,640 So over here I have a triangle with A, B and C and let this angle be it. 453 00:29:02,010 --> 00:29:02,400 All right. 454 00:29:02,640 --> 00:29:09,510 So one minus sine square is one minus E, square by C square because sign is NBC, right? 455 00:29:09,750 --> 00:29:13,530 So this is C square minus a square by square right now. 456 00:29:13,530 --> 00:29:18,000 C square minus E square is equal to be square because this is the right angle triangle. 457 00:29:18,000 --> 00:29:24,990 And as Pythagoras's theorem C squared as equals A squared plus B square or C square minus square will 458 00:29:24,990 --> 00:29:25,660 be B square. 459 00:29:25,890 --> 00:29:31,040 So I can write this as B square by square and B by C is cause of it. 460 00:29:31,170 --> 00:29:33,260 So we score by C Square square. 461 00:29:33,280 --> 00:29:37,920 If we are we have seen Y one minus sine square is equally square. 462 00:29:38,400 --> 00:29:43,170 We use that over here and we get square by square, which is also equal to one. 463 00:29:43,410 --> 00:29:47,370 And therefore the answer to this question is option C, which is one. 464 00:29:48,380 --> 00:29:55,690 Let's read the next question, a circle of radius, 15 centimeter circumscribes and little triangle 465 00:29:56,240 --> 00:29:58,100 in the area of the triangle. 466 00:29:58,400 --> 00:29:58,810 All right. 467 00:29:59,060 --> 00:30:00,590 What's the answer to this question? 468 00:30:00,860 --> 00:30:07,670 The answer to this question is option E write that six hundred seventy five square root of three by 469 00:30:07,670 --> 00:30:09,440 four centimeter square root. 470 00:30:09,750 --> 00:30:12,010 So let's see why we get this answer. 471 00:30:12,320 --> 00:30:15,960 Now, let the side of the triangle be now. 472 00:30:16,040 --> 00:30:21,260 The Sock'Em Radius will be two by three, the height of the equilateral triangle. 473 00:30:21,680 --> 00:30:27,070 Now the height of an equal triangle is Route three by to the side of the triangle. 474 00:30:27,260 --> 00:30:31,870 But these two things we have discussed in previous videos, well, this should be very thorough. 475 00:30:32,750 --> 00:30:38,510 If you have any confusion in this area, try to revisit those sections where we discussed equilateral 476 00:30:38,510 --> 00:30:39,050 triangles. 477 00:30:39,330 --> 00:30:39,760 All right. 478 00:30:39,980 --> 00:30:44,240 Now, over here are is equal to two by three in room, three by two side. 479 00:30:44,240 --> 00:30:44,600 Right. 480 00:30:44,750 --> 00:30:45,440 And this, too. 481 00:30:45,440 --> 00:30:46,820 And this to cancel out. 482 00:30:46,820 --> 00:30:52,520 And this can be simplified aside by rule three, that is equal to fifteen centimetre because it's given 483 00:30:52,520 --> 00:30:53,750 over here already. 484 00:30:53,870 --> 00:30:57,110 So that means is equal to fifteen row three. 485 00:30:57,260 --> 00:30:57,640 Right. 486 00:30:57,890 --> 00:31:03,560 And the area of equal triangle is given us room three by four is square. 487 00:31:03,770 --> 00:31:04,880 Where is the side. 488 00:31:05,180 --> 00:31:11,480 That's three by four into fifteen square which is to twenty five into row three square which is three. 489 00:31:11,750 --> 00:31:15,620 So that gives you two, twenty five in the three which is six seventy five. 490 00:31:15,890 --> 00:31:18,860 Route three by four as the answer. 491 00:31:19,130 --> 00:31:20,780 That is option eight. 492 00:31:22,560 --> 00:31:29,610 Let's read the next question to cyclists moved from the same point at an angle of one thirty five degrees 493 00:31:29,820 --> 00:31:35,400 and five kilometers per hour and six kilometers per hour, find the distance between them after one 494 00:31:35,400 --> 00:31:35,760 hour. 495 00:31:36,120 --> 00:31:36,570 All right. 496 00:31:36,720 --> 00:31:38,280 What's the answer to this question? 497 00:31:38,520 --> 00:31:45,810 The answer to this question is option C, that is square root of sixty one plus thirty two kilometers. 498 00:31:46,140 --> 00:31:48,630 All right, let's see how to do this over here. 499 00:31:48,640 --> 00:31:50,310 Let this be the starting point. 500 00:31:50,670 --> 00:31:56,070 And one person is moving in this direction and the other person is moving in this direction. 501 00:31:56,250 --> 00:32:00,190 And the angle between them is giving us one thirty five degrees already. 502 00:32:00,420 --> 00:32:06,360 Now after one hour the person is moving in this direction, will have moved five kilometers and this 503 00:32:06,360 --> 00:32:09,530 person will have moved six kilometers because that's their speed. 504 00:32:10,020 --> 00:32:10,430 All right. 505 00:32:10,590 --> 00:32:12,740 Now we need to find the value of that. 506 00:32:12,870 --> 00:32:15,840 That is a B. That's what we need to find out. 507 00:32:16,110 --> 00:32:16,470 All right. 508 00:32:16,650 --> 00:32:26,460 Now, let's draw a perpendicular B.C. such that BKS perpendicular to or if this is all in BSES, perpendicular 509 00:32:26,460 --> 00:32:27,070 to it. 510 00:32:27,510 --> 00:32:27,920 All right. 511 00:32:28,080 --> 00:32:30,210 Now, this angle is one thirty five. 512 00:32:30,210 --> 00:32:35,790 So this angle will be 180, minus one thirty five, which is equal to forty five degree. 513 00:32:36,060 --> 00:32:40,680 And this angle also will be equal to four different degrees because these two angles are vertically 514 00:32:40,680 --> 00:32:41,550 opposite angles. 515 00:32:41,820 --> 00:32:42,200 All right. 516 00:32:42,420 --> 00:32:52,260 Now let's observe a triangle or triangle or B, C you can see that X divided by six is equal to sign 517 00:32:52,680 --> 00:32:54,000 six sine forty five. 518 00:32:54,000 --> 00:32:57,780 Right sine forty five is opposite side. 519 00:32:57,780 --> 00:33:04,470 That's X by hypotenuse, that's six X by six sine forty five, which is equal to one by two. 520 00:33:04,950 --> 00:33:10,800 We know sine forty five is one variable, therefore X is equal to six, Bierut two which is equal to 521 00:33:11,160 --> 00:33:11,760 zero two. 522 00:33:12,150 --> 00:33:14,600 But we know that X is equal to three zero two. 523 00:33:14,940 --> 00:33:19,310 Now over here you can see that this angle is ninety degrees, this is forty five degrees. 524 00:33:19,310 --> 00:33:21,990 So this also will be equal to forty five degrees. 525 00:33:21,990 --> 00:33:25,390 Right as per angles on property of a triangle. 526 00:33:25,740 --> 00:33:28,200 Now therefore these two sides have to be equal. 527 00:33:28,410 --> 00:33:35,250 Therefore Y also is equal to three to this side is also equal to three to two kilometers. 528 00:33:35,610 --> 00:33:42,330 Now in triangle ABC, ABC, this angle is ninety degrees so we can use Pythagoras Theorem. 529 00:33:42,480 --> 00:33:46,850 So AB Square will be equal to X squared plus KBE Square. 530 00:33:47,190 --> 00:33:53,460 Now AC is equal to five plus or C that's five plus three or two. 531 00:33:53,910 --> 00:33:58,860 AC Square is five plus three to the whole squared plus CBS, CBS three or two. 532 00:33:59,070 --> 00:34:00,730 We take three to the square. 533 00:34:00,960 --> 00:34:02,400 Now let's expand this. 534 00:34:02,610 --> 00:34:06,070 This is twenty five plus eighteen plus thirty root. 535 00:34:06,120 --> 00:34:13,470 To impress me the whole square root is equal to A squared plus B squared plus two A B. 536 00:34:17,060 --> 00:34:23,540 All right, that's twenty five plus 18, plus 30, thirty two plus 18, three to the whole square is 537 00:34:23,540 --> 00:34:28,120 nine and two, that's 18 and this simplifies to 61 plus thirty two. 538 00:34:28,340 --> 00:34:29,620 That's a big square. 539 00:34:29,930 --> 00:34:37,280 We need to find B, so AB is equal to square root of sixty one plus thirty two, which is option C.