Let's do this question in the figure.
The circle touches all the sides of a quadrilateral find.
All right.
Now pause the video, give it a try and then let's do it together.
All right.
We are back.
I hope you have given it a try.
Let's do it together.
Now, over here, we have four points where the circle meets the given quadrilateral.
Let's mark these points, SPQR.
And it's OK.
Now I can see that AP is equal to Pierce, right?
Why is that?
So these two are the engines from an exterior point to this circle, right?
The point is the exterior point and A B and Eddie are the tangents.
Right.
And they are meeting the circular points.
Therefore, it is equal to s let's call this distance X.
So you have X over here and you have X over here.
Similarly, you can see that over here you have White and Y, you're also there and Z and here over
its end is right, because over here you can see BP and Peak.
You are tandem's from an exterior point to the circle.
Similarly, CQ and are tangent from an extra point to a circle and the Z and B.
S are also tangent from an extra point to a circle.
Right now over here, let's check what is A D plus B, C?
That's 80 over here, which is seven and B, C, that's four centimetre.
Now you can see that that's eleven centimetre.
Right.
And that's equal to X plus A plus Y plus Z.
Right.
All right, so that's equal to 11, because we know seven plus four is equal to 11.
Now let's try what is a B plus KDDI?
You will see that A B plus X plus why plus A plus Z, right.
You have explosive way over here and a plus over here.
We can see that these two are one and the same.
Right.
Therefore, this also has to be equal to 11 because we have 11 over here.
So this also has to be 11 now A B plus KDDI has to be 11.
And we know that AB is equal to eight.
So eight plus KDDI is equal to 11.
Right.
Therefore, we get that is equal to three centimeter.
And that is your answer.