A triangle has sides with lengths of 6, 4, and 2. What is the radius of the triangles inscribed circle?
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
and inscribed circle radius of
#radius_triangle = (Area_triangle)/s#