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

##### 1 Answer

Jan 21, 2016

#### 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#