Geometry, Theorems and Problems

 Problem 206. Area of a Right Triangle Area, Inradius, Exradius relative to the hypotenuse

In the figure below, BAC is a right triangle of area S. If r is the inradius and ra is the exradius relative to the hypotenuse BC, prove that: S = r.ra. View or post a solution.
 

Area of a right triangle
 

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