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What is the radius of the circle inscribed in triangle ABC if AB=22, AC=12, and BC=13? Express your answer in simplest radical form.

 Dec 13, 2020
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What is the radius of the circle inscribed in triangle ABC if AB=22, AC=12, and BC=13? Express your answer in the simplest radical form.

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1/   Find semiperimeter       s = (a + b +c) / 2

 

2/   Find the area of ΔABC       A = sqrt[ s(s - a)(s - b)(s - c)]    

 

3/   Calculate the radius     r = A / s smiley

 Dec 14, 2020

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