Answer to Question #180489 in Geometry for Harshit bareja

Question #180489

The sides a, b, c of a right triangle, where c is the hypotenuse, are circumscribing a circle.

Prove that the radius r of the circle is given by r = (𝑎+𝑏−𝑐)

2

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Expert's answer

Let circle touch CB at M and CA at N, AB at P

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