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 Problem 27 Level: High School, SAT Prep, College geometry

In triangle ABC, angle B is a right angle. O is the incenter of triangle ABC, From O parallels FG and HM are drawn to AB, and BC. r1, and r2, are the inradii of the triangles AHM, and FGC respectively, the points D and E are points of tangency. Prove that .




 


 

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Last updated: July 1, 2007