1
00:00:00,710 --> 00:00:05,560
Let's do this question in the figure below, Picou is parallel to B.C..

2
00:00:06,300 --> 00:00:14,900
All right, area of Triangle AP You is one for the area of triangle ABC find Beebee if it's given that

3
00:00:14,900 --> 00:00:16,880
ABC will do 10 centimetre.

4
00:00:17,890 --> 00:00:20,960
Pause the video, give it a try, and then let's do it together.

5
00:00:21,670 --> 00:00:22,600
All right, we're back.

6
00:00:22,840 --> 00:00:24,220
I hope you've given it a try.

7
00:00:24,460 --> 00:00:25,580
Let's do it together.

8
00:00:25,840 --> 00:00:29,630
It's mentioned that BQ is parallel to B.C., right.

9
00:00:30,310 --> 00:00:33,730
So let's take a beat as the transposon.

10
00:00:33,880 --> 00:00:35,560
And you have two parallel lines.

11
00:00:35,710 --> 00:00:37,570
Therefore, angle AP.

12
00:00:37,570 --> 00:00:41,860
Q is equal to Angle ABC because they are corresponding angles.

13
00:00:42,250 --> 00:00:47,410
Similarly, if you take a seat as the transversal, you will find that angle.

14
00:00:47,410 --> 00:00:53,060
AQAP is equal to angle AC B because again they are corresponding angles.

15
00:00:53,290 --> 00:00:56,680
Now you have two sets of angles that are equal.

16
00:00:56,830 --> 00:01:02,890
Therefore asperity a rule triangle ap Q is similar to triangle ABC.

17
00:01:03,160 --> 00:01:09,760
Now if you take the ratio of two similar triangles, that's equal to to the square of the ratio of the

18
00:01:09,760 --> 00:01:11,680
sites for areas of epic.

19
00:01:11,680 --> 00:01:20,500
You divide it by area of ABC is equal to one by four that is given and that is equal to AP Square divided

20
00:01:20,500 --> 00:01:27,160
by AP Square, AP and IB are corresponding sites right from this part over here.

21
00:01:27,340 --> 00:01:29,170
Let's take square root on both sides.

22
00:01:29,320 --> 00:01:34,720
I can get AP by AB is equal to one by two right now.

23
00:01:34,870 --> 00:01:37,540
It's given that AB is equal to ten centimeter.

24
00:01:37,750 --> 00:01:39,780
So let me substitute that over here.

25
00:01:39,940 --> 00:01:41,260
That gives me AP.

26
00:01:41,260 --> 00:01:43,870
Divided by ten is equal to one by two.

27
00:01:44,050 --> 00:01:51,010
Or you can find that AP is equal to five centimeter now or here we are asked to find b B right.

28
00:01:51,280 --> 00:01:57,280
We know AP is equal to five centimeter and it's given that a B is equal to 10 centimeter.

29
00:01:57,490 --> 00:02:02,560
Therefore B, B is A, B minus ipe.

30
00:02:02,560 --> 00:02:07,330
That's ten minus five, which gives you five centimetre as your answer.