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 r_{b } and r_{c} are de
exradii relative to the catheti (legs), prove that:
r_{b} = s  c = AD = AE = BF = BH = CJ = CL, similarly r_{c}
= s  b = AM = AG = CH = CN = BK = BL.
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