SOLUTION: A circle inscribed in a right triangle whose legs are 8 and 15. What is the radius of the inscribed circle.

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Question 526288: A circle inscribed in a right triangle whose legs are 8 and 15. What is the radius of the inscribed circle.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A circle inscribed in a right triangle whose legs are 8 and 15. What is the radius of the inscribed circle.
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The hypotenuse, c = 17
r = a*b/(a+b+c) = 120/40
r = 3
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Or, for any triangle:
s = 1/2 the perimeter = 20
r+=+sqrt%28%28s-a%29%2A%28s-b%29%2A%28s-c%29%2Fs%29
r+=+sqrt%28180%2F20%29+=+sqrt%289%29
r = 3