Geometry, Theorems and Problems

 Problem 202. Right Triangle, Incircle, Excircles, Points of Tangency, Exradius, Semiperimeter

In the figure below, BAC is a right triangle with the incircle and the three excircles. If s is the semiperimeter, points D, E, F, G, H, J, K, L, M, and N are the points of tangency, and rb  and rc are de exradii relative to the catheti (legs), prove that:
rb = s - c = AD = AE = BF = BH = CJ = CL, similarly rc = s - b = AM = AG = CH = CN = BK = BL. View or post a solution.
 

Problem 202: Right triangle, excircles
 

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