SOLUTION: The diagnolas of a rhombus are 12 and 24. Find the radius of the circle inscribed in the rhombus.

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Question 37284: The diagnolas of a rhombus are 12 and 24. Find the radius of the circle inscribed in the rhombus.
Answer by fractalier(6550) About Me  (Show Source):
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If its diagonals are 12 and 24, and they meet at right angles, the side of the rhombus is the Pythagorean sum of 6 and 12, which is sqrt(180) or 6*sqrt(5). Since the circle fits as tightly as possible within the rhombus, I'm thinking its diameter is the same. Hence the radius is 3*sqrt(5).