Question

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

Answer 1

`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`