SOLUTION: Find the radius of the incircle (i.e.the largest cicrlce contained in the triangle) for the 5-12-13 triangle

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Question 1180140: Find the radius of the incircle (i.e.the largest cicrlce contained in the triangle) for the 5-12-13 triangle
Answer by greenestamps(13215) About Me  (Show Source):
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The 5-12-13 triangle is a right triangle with legs 5 and 12; its area is one-half base times height, which is one-half the product of the two legs: area 30.

The area of a triangle is also one-half the perimeter of the triangle, multiplied by the radius of the inscribed circle.

The area is 30; the perimeter is 30:

30+=+%281%2F2%29%2830%29%28r%29
30+=+15r
r=2

ANSWER: the radius of the inscribed circle is 2.