Let's do this question in the figure, the circle touches all the sides of a triangle, find S.P..
All right, 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.
You can see that in this figure, Sepi will be equal to see are right.
C, B and C, R have to be equal.
Why is that so?
Because these two are tangents to a circle from an exterior point.
And the extra point is point C over here.
All right.
Now let's mark that as X and X, OK?
Now, in a similar manner, you can see that EHP is equal to equal and B Q is equal to be R, right.
Let's mark that as Y and Y and Z and Z.
All right.
Now if you add the three sites it's given us eleven nine and eight centimetre.
Right.
So eleven plus nine plus eight has to be equal to explosive eight plus five plus plus X.
Right.
So you can see that eleven plus nine plus eight is equal to two times X plus way plus.
All right.
Now over here you can see this is equal to twenty eight, so twenty eight by two gives you fourteen,
so X plus Y plus eight is equal to fourteen.
Not having established this, let's check Y plus that.
It's given that Y plus that is equal to nine centimetre.
Right.
All right.
So Y plus set is equal to nine centimetre.
And why am I taking whiplashed.
Because I need to find X teebs equal to X over here.
Right.
So I'm taking the other two.
So Y plus that is equal to nine from this figure.
Therefore we know X plus five plus that is equal to 14.
And over here we have Y plus there is equal to nine.
Right.
Therefore X is equal to fourteen minus nine.
That's equal to five centimetre.
And that is your answer.