SOLUTION: A triangle has a perimeter of 96 m. and an area of 138 sq.m. What is the radius of the circle that maybe inscribed in this triangle.

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Question 1208823: A triangle has a perimeter of 96 m. and an area of 138 sq.m. What is the radius of the circle that maybe inscribed in this triangle.
Answer by greenestamps(13195) About Me  (Show Source):
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There is a formula for the area of a triangle in terms of its perimeter and the radius of the inscribed circle that makes solving this problem easy.

Area A of a circle with perimeter p for which the radius of the inscribed circle is r:

A = (1/2)(p)(r)

We are given A=138 and p=96:

138=%281%2F2%29%2896%29%28r%29
138=48r
r=138%2F48=23%2F8=2.875

ANSWER: 2.875 m