1 00:00:00,850 --> 00:00:08,560 Let's do this question, an equilateral triangle, because you are assigned 10 centimeters, or is any 2 00:00:08,560 --> 00:00:18,340 point in the interior of the Triangle, EQR or A or B and C are perpendicular to B, Cucu, R and B 3 00:00:18,340 --> 00:00:19,820 are respectively. 4 00:00:20,320 --> 00:00:21,510 All right, fine. 5 00:00:21,610 --> 00:00:23,670 Or A plus or B plus or C. 6 00:00:23,950 --> 00:00:24,480 All right. 7 00:00:24,730 --> 00:00:28,690 Draw a rough diagram and try to do this question on your own. 8 00:00:29,880 --> 00:00:30,750 All right, we're back. 9 00:00:30,780 --> 00:00:32,100 I hope you've given it a try. 10 00:00:32,400 --> 00:00:33,750 Let's do it together now. 11 00:00:34,410 --> 00:00:36,450 Let me start drawing a rough diagram. 12 00:00:36,660 --> 00:00:43,190 I have a triangle because you are over here and it's mentioned that it's an equilateral triangle and 13 00:00:43,200 --> 00:00:49,860 I take any point inside, pick you up and I drop perpendicular to the respective sides. 14 00:00:50,070 --> 00:00:53,790 So this is this is Orsi and this is Alby. 15 00:00:53,790 --> 00:00:55,170 And these are all perpendicular. 16 00:00:55,530 --> 00:00:55,970 All right. 17 00:00:56,190 --> 00:00:59,080 Now, what is the area of an equal triangle? 18 00:00:59,310 --> 00:01:05,790 We have seen that if the side of the equilateral triangle is E, then the area of the equilateral triangles, 19 00:01:05,790 --> 00:01:07,800 route three by four is square. 20 00:01:07,950 --> 00:01:13,620 Right now it's mentioned that the side is 10 centimeter, therefore is equal to 10 centimeter. 21 00:01:13,800 --> 00:01:19,650 And hence the area is ruled three by four into 10 square, which gives you twenty five root three. 22 00:01:20,070 --> 00:01:20,580 All right. 23 00:01:20,790 --> 00:01:25,860 Now let's join be all or Q and all our. 24 00:01:27,320 --> 00:01:36,560 All right, now you can see that the area of Triangle P, Q, R can also be found as the area of Triangle 25 00:01:36,860 --> 00:01:44,960 B or Q, that's this triangle over here, plus the area of Triangle B or that's this triangle over here. 26 00:01:45,380 --> 00:01:49,230 Plus the area of triangle you are that's this triangle over here. 27 00:01:49,580 --> 00:01:55,430 So if you are the area of these three triangles, you will get the area of Triangle Park. 28 00:01:55,430 --> 00:01:56,690 You are all right. 29 00:01:56,930 --> 00:01:58,860 Now let's proceed. 30 00:01:59,240 --> 00:02:04,910 We know that the area of a triangle is half base in height right now. 31 00:02:04,910 --> 00:02:08,050 Over here, let's try to find the area of Triangle Yoku. 32 00:02:08,240 --> 00:02:10,010 We have B OK, you over here. 33 00:02:10,340 --> 00:02:14,450 We know that it is A perpendicular from Vertex or right. 34 00:02:14,570 --> 00:02:18,110 So therefore always the height when P Q is the base. 35 00:02:18,440 --> 00:02:26,370 So I can write the area of triangle POTUS half into ten into it because I know BQ is ten, because Triangle 36 00:02:26,380 --> 00:02:29,930 Epicure is an equilateral triangle right now. 37 00:02:30,080 --> 00:02:38,690 Similarly, I can find the area of Triangle B or R as half in the ten into orbit and the area of Triangle 38 00:02:38,720 --> 00:02:41,210 Q is half in or C. 39 00:02:41,570 --> 00:02:44,300 All right, let's make some space over here. 40 00:02:44,620 --> 00:02:45,110 All right. 41 00:02:45,230 --> 00:02:49,340 Now this gets simplified right to and over here. 42 00:02:49,340 --> 00:02:50,590 Also, I can cut out two. 43 00:02:50,720 --> 00:02:58,490 So this is five or six five Olby and this is five or C, therefore the area of triangle P, Q R is five 44 00:02:58,490 --> 00:03:05,390 times or A plus or B plus or C, and that is equal to what we have got over here because this is also 45 00:03:05,390 --> 00:03:08,780 the area, but this is equal to twenty five root three. 46 00:03:09,140 --> 00:03:13,460 Therefore we need to find or A plus or B plus or C. 47 00:03:13,610 --> 00:03:13,940 Right. 48 00:03:13,940 --> 00:03:20,990 So I just need to cut out five from both the sides and I get the answer as five root three, which is 49 00:03:20,990 --> 00:03:22,100 option eight.