SOLUTION: If s is the semi-perimeter of triangle ABC and r is the radius of its incircle, what is the area of triangle ABC in terms of r and s?

SOLUTION: If s is the semi-perimeter of triangle ABC and r is the radius of its incircle, what is the area of triangle ABC in terms of r and s?

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Question 1190322: If s is the semi-perimeter of triangle ABC and r is the radius of its incircle, what is the area of triangle ABC in terms of r and s?
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.

The area of ANY triangle is the product of its semi-perimeter by the radius of the inscribed circle.

                     = r * s.

                    MEMORIZE it ( ! )

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For the proof, see the lesson

    - Proof of the formula for the area of a triangle via the radius of the inscribed circle

in this site.

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