1
00:00:00,690 --> 00:00:07,430
Let's do this question in the figure BQ is the angle by sector of Angle EPB.

2
00:00:08,150 --> 00:00:11,510
All right, so this angle over here is equal to this angle.

3
00:00:12,030 --> 00:00:19,530
Now, PR is the angle by sector of angle A, B, C, this angle over here is equal to this angle over

4
00:00:19,530 --> 00:00:19,910
here.

5
00:00:20,280 --> 00:00:28,770
B, C is giving us 10 centimeter equals six centimeter, BQ is three centimeter and AC is 14 centimeter.

6
00:00:29,070 --> 00:00:36,620
Now we need to find B B if the ratio of A R to ask E R to us is to is to one already.

7
00:00:36,900 --> 00:00:40,430
Pause the video, give it a try and then let's do it together.

8
00:00:42,460 --> 00:00:43,390
All right, we're back.

9
00:00:43,570 --> 00:00:50,860
Let's do it together as per the interior angle bisected theorem, right in this or in this case over

10
00:00:50,860 --> 00:00:56,140
here, we can say that BP by P will be equal to BQ by it.

11
00:00:56,320 --> 00:00:56,680
Right.

12
00:00:57,280 --> 00:01:03,520
BP by is equal to be Kubi because you is the angle by sector of this angle over here.

13
00:01:04,000 --> 00:01:10,120
Now we know that BQ is three centimeter and Q is six centimeters.

14
00:01:10,120 --> 00:01:13,780
So that's three by six, which gives me one by two.

15
00:01:14,110 --> 00:01:18,130
Now over here P R is the angle by sector of angle ipse.

16
00:01:18,400 --> 00:01:26,890
Therefore be it by proxy will be equal to a R by Arcy, right by R by Arcy.

17
00:01:27,220 --> 00:01:31,850
Now it's given that the ratio of error to ask is two is to one.

18
00:01:32,170 --> 00:01:34,360
So this is equal to two by one.

19
00:01:34,790 --> 00:01:35,220
All right.

20
00:01:35,530 --> 00:01:35,950
Now.

21
00:01:36,840 --> 00:01:42,820
From this part over here, I know that BP by BP is equal to one by two, right?

22
00:01:43,020 --> 00:01:48,060
So I can write to BP, is it going to be it by cross multiply the two.

23
00:01:48,060 --> 00:01:49,090
BP is equal.

24
00:01:49,090 --> 00:01:57,090
Luppi now over here I have B by proxy is equal to two by one, therefore by cross multiplying.

25
00:01:57,090 --> 00:02:00,680
I can say that to C is equal to be it.

26
00:02:01,020 --> 00:02:09,090
Now over here we have B and over here we have B, therefore to BP is equal to C or cancelling out to

27
00:02:09,090 --> 00:02:10,140
from both the sides.

28
00:02:10,140 --> 00:02:13,160
We can see that BP is equal to P.c.

29
00:02:13,260 --> 00:02:21,150
That means this side over here is equal to this site over here now because B C is the sum of BP plus

30
00:02:21,150 --> 00:02:25,620
B.C. Therefore each of these will be B, C, divided by two.

31
00:02:26,110 --> 00:02:26,640
All right.

32
00:02:26,850 --> 00:02:30,990
Now, over here, it's given that BK's equal to 10 centimetre.

33
00:02:31,230 --> 00:02:35,700
Therefore, this is equal to ten by two, which gives you five centimetre.

34
00:02:36,060 --> 00:02:38,240
And that is your answer, right?

35
00:02:38,250 --> 00:02:39,450
You need to find BP.

36
00:02:39,540 --> 00:02:41,460
So BP's five centimetre.