Geometry, Theorems and Problems

 

 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 ra, rb  and rc are de exradii, prove that: ra = r + rb + rc. View or post a solution.
 

Elearn 204 Right triangle, inradius, exradii
 

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