Geometry, Theorems and Problems

 Problem 201. Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter

In the figure below, BAC is a right triangle with the excircle of radius ra relative to the hypotenuse BC and the excircles relatives to the catheti (legs). If s is the semiperimeter and D, E, F, G, H, and M are the points of tangency, prove that ra = s = AD = AE = BF = BH = CG = CM. View or post a solution.
 

Elearn 201: Right triangle
 

  

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