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Solution: We begin by computing the area of the triangle using Herons formula. Let $ a = 13 $, $ b = 14 $, $ c = 15 $. The semi-perimeter $ s $ is:
Question: A right triangle has hypotenuse $ z $ and inradius $ c $. Express the ratio of the area of the incircle to the area of the triangle in terms of $ z $ and $ c $.
Solution: Let the legs of the right triangle be $ a $ and $ b $, and hypotenuse $ z $. For any right triangle, the inradius $ c $ is given by:

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