A triangle has sides with lengths of 6, 4, and 2. What is the radius of the triangles inscribed circle?

1 Answer
Alan P.
Jan 21, 2016

0

Explanation:

Since the sum of the two shorter sides is equal to the length of the longest side, the triangle is flat.

For a general solution to this type of problem:

A triangle with sides a, b, c and semiperimeter s =(a+b+c)/2

has an area given by Heron's Formula as

Area_triangle=sqrt(s(s-a)(s-b)(s-c))

and inscribed circle radius of

radius_triangle = (Area_triangle)/s

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