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 Problem 200. Right Triangle, Incircle, Excircles, Points of Tangency, Inradius

In the figure below, BAC is a right triangle with the incircle of radius r and the excircles relatives to the legs or catheti (singular: cathetus). If s is the semiperimeter and D, E, F, G, H, and M are the points of tangency, prove that r = s - a = AD = AE = BF = BH = CG = CM.
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Elearn 200: Right Triangle, inradius
 

 

 

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