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Let's do this question in the figure, the circle touches all the sides of a triangle, find S.P..

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All right, pause the video, give it a try, and then let's do it together.

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All right.

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We are back.

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I hope you have given it a try.

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You can see that in this figure, Sepi will be equal to see are right.

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C, B and C, R have to be equal.

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Why is that so?

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Because these two are tangents to a circle from an exterior point.

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And the extra point is point C over here.

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All right.

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Now let's mark that as X and X, OK?

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Now, in a similar manner, you can see that EHP is equal to equal and B Q is equal to be R, right.

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Let's mark that as Y and Y and Z and Z.

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All right.

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Now if you add the three sites it's given us eleven nine and eight centimetre.

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Right.

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So eleven plus nine plus eight has to be equal to explosive eight plus five plus plus X.

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Right.

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So you can see that eleven plus nine plus eight is equal to two times X plus way plus.

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All right.

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Now over here you can see this is equal to twenty eight, so twenty eight by two gives you fourteen,

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so X plus Y plus eight is equal to fourteen.

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Not having established this, let's check Y plus that.

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It's given that Y plus that is equal to nine centimetre.

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Right.

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All right.

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So Y plus set is equal to nine centimetre.

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And why am I taking whiplashed.

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Because I need to find X teebs equal to X over here.

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Right.

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So I'm taking the other two.

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So Y plus that is equal to nine from this figure.

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Therefore we know X plus five plus that is equal to 14.

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And over here we have Y plus there is equal to nine.

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Right.

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Therefore X is equal to fourteen minus nine.

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That's equal to five centimetre.

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And that is your answer.