SOLUTION: If a circle is inscribed in a triangle with sides 12, 12, and 8, what is the radius of the circle?

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Question 176650: If a circle is inscribed in a triangle with sides 12, 12, and 8, what is the radius of the circle?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
r=sqrt%28k%28k-a%29%28k-b%29%28k-c%29%29%2Fk
:
where k+=%281%2F2%29%28a%2Bb%2Bc%29 and a,b,and c are the lengths of the sides
:
k=%281%2F2%29%2812%2B12%2B8%29=16
:
r=sqrt%28%2816%29%2816-12%29%2816-12%29%2816-8%29%29%2F16
:
r=4sqrt%28%284%29%284%29%288%29%29%2F16
:
r=4sqrt%28%2864%29%282%29%29%2F16
:
r=32sqrt%282%29%2F16
:
r=2sqrt%282%29