Problem 204.
Right Triangle, Incircle, Excircles, Inradius, Exradii,
Auxiliary Lines

In the figure below, BAC is
a right triangle with the incircle and the three excircles. If r
is the inradius, and r_{a}, r_{b } and r_{c} are de exradii, prove that: r_{a}
= r + r_{b} + r_{c}.
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