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Now, the altitude $ h $ corresponding to the side of length 15 km is given by:
Question: A cartographer is analyzing a triangular region on a map with side lengths of 9 cm, 12 cm, and 15 cm. What is the ratio of the area of the inscribed circle to the area of the triangle?
We are given a triangle with side lengths $ a = 9 $, $ b = 12 $, $ c = 15 $. First, check if its a right triangle:
So, it is a right triangle with hypotenuse 15 cm.
The inradius $ r $ of a right triangle is given by:
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