1 00:00:00,600 --> 00:00:08,690 Let's do this question is equal to seven cities, equal to room to find Tiaro already was the video. 2 00:00:08,700 --> 00:00:10,660 Give it a try and then let's do it together. 3 00:00:11,130 --> 00:00:11,610 All right. 4 00:00:11,610 --> 00:00:12,070 We back. 5 00:00:12,090 --> 00:00:13,030 Let's do it together. 6 00:00:13,710 --> 00:00:15,960 Let me join you now. 7 00:00:15,960 --> 00:00:19,950 You can see that it's given that Steve is equal to Tooru to right. 8 00:00:20,250 --> 00:00:22,340 And it's given Picou is equal to seven. 9 00:00:22,650 --> 00:00:24,420 Let me mark the given information. 10 00:00:25,650 --> 00:00:31,410 All right, now, over here, you have a 90 degree angle, this is a 45 degree angle right there for 11 00:00:31,410 --> 00:00:36,620 SRP has to be a 45 degree angle, some property of a triangle. 12 00:00:36,630 --> 00:00:36,970 Right. 13 00:00:37,530 --> 00:00:42,210 So BSR is the triangle or these triangles should add up to 180. 14 00:00:42,450 --> 00:00:43,500 All right, let's proceed. 15 00:00:43,650 --> 00:00:45,060 Now you can see that P. 16 00:00:45,060 --> 00:00:46,020 Q t. 17 00:00:46,020 --> 00:00:49,110 S is forming a cyclic quadrilateral, right? 18 00:00:49,290 --> 00:00:53,650 Because all the forward is USPI and are on the circle. 19 00:00:53,880 --> 00:00:57,180 Now, therefore, some of the opposite angles has to be 180 degree. 20 00:00:57,390 --> 00:01:05,850 So angle is plus angle B, Q has to be 180 degrees and therefore you get that angle p, q, t also is 21 00:01:05,850 --> 00:01:09,460 equal to 90 degrees because this one also is 90 degrees. 22 00:01:09,750 --> 00:01:15,600 And because this is 90, this also will be 90 because these two former linear pair, that is this plus 23 00:01:15,600 --> 00:01:17,020 this has to be 180 degrees. 24 00:01:17,250 --> 00:01:19,770 So if this is 90, this is also 90 degrees. 25 00:01:20,100 --> 00:01:22,250 Now let's observe triangle take. 26 00:01:22,260 --> 00:01:23,940 You are you have one angler's. 27 00:01:23,940 --> 00:01:25,590 Ninety one angler's forty five. 28 00:01:25,800 --> 00:01:31,140 Therefore this angle over here that's angle Kutty are also has to be forty five degrees. 29 00:01:31,170 --> 00:01:31,460 Right. 30 00:01:31,680 --> 00:01:34,160 That's 180 minus 90 minus forty five. 31 00:01:34,440 --> 00:01:35,570 That gives you forty five. 32 00:01:35,880 --> 00:01:36,350 All right. 33 00:01:37,050 --> 00:01:44,040 Now over here you have two equal angles in Triangle Kutty are two triangle Kutty is an isosceles triangle. 34 00:01:44,320 --> 00:01:52,140 So if you are is X beauty also will be equal to X and tr will be equal to square root of two in the 35 00:01:52,140 --> 00:01:54,210 X because this is the right angle triangle. 36 00:01:54,420 --> 00:01:57,360 But there will be square root of X squared plus X square. 37 00:01:57,570 --> 00:01:59,420 That's the root to into X. 38 00:01:59,760 --> 00:02:07,860 All right, now let's take a triangle PSR this is the triangle PSR Triangle PSR and will be an angle 39 00:02:07,880 --> 00:02:10,560 are equal to forty five degrees right there equal. 40 00:02:10,740 --> 00:02:13,360 Therefore pIace is equal to Ezat. 41 00:02:13,500 --> 00:02:13,880 Right. 42 00:02:15,450 --> 00:02:22,260 All right, now over here, and Opsahl is a 90 degree angle, therefore, let me apply Pythagoras's 43 00:02:22,260 --> 00:02:28,740 theorem to triangle PSR that gives me the hypotenuse of seven plus X-Rite seven plus X. 44 00:02:28,740 --> 00:02:33,510 The whole square is equal to two root two plus two X. 45 00:02:33,540 --> 00:02:34,530 That's this side, right. 46 00:02:34,770 --> 00:02:38,880 The whole square and Assad and P.S. have to be equal. 47 00:02:38,910 --> 00:02:41,040 So that's the same side repeated. 48 00:02:41,340 --> 00:02:47,520 So seven plus X the whole square is equal to two times to row two plus two X the whole square. 49 00:02:47,940 --> 00:02:53,940 Now let me take the root on the left hand side and the right hand side so I get seven plus X is equal 50 00:02:53,940 --> 00:02:54,360 to root. 51 00:02:54,390 --> 00:02:57,000 Two in two two two two plus two X. 52 00:02:57,360 --> 00:02:58,950 Let me take the root to inside. 53 00:02:59,100 --> 00:03:01,380 That's equal to four plus two X. 54 00:03:01,710 --> 00:03:01,950 Right. 55 00:03:02,330 --> 00:03:06,630 That's four plus two X, so seven plus X is equal to four plus two X. 56 00:03:06,900 --> 00:03:09,550 That gives me X is equal to three. 57 00:03:10,000 --> 00:03:16,800 Now we need to find tr tr we know here is bruto into X, X is equal to three. 58 00:03:16,920 --> 00:03:18,750 So tr is equal to. 59 00:03:20,750 --> 00:03:23,340 Route two into three. 60 00:03:23,480 --> 00:03:26,320 That gives me three, Route two as the answer.