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 Problem 34. Right Triangle, Incircles, Inradius. Level: High School, SAT Prep, College geometry

The figure shows a right triangle ABC, r is the inradius. Point D is taken on side AC, the incircles of triangles ABC, ABD and BDC  touches the sides at E, F, G, H, J, K, L, M, and N, respectively. Prove that DN = GK = EH and r = BJ - DL




 


 

 

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Last updated: July 1, 2007