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 Problem 35. Incenters and Inradii in Cyclic Quadrilateral. Level: High School, SAT Prep, College

The figure shows a cyclic quadrilateral ABCD. E, F, G, and H are the incenters and ra, rb, rc, and rd are the inradii of the triangles ABD, ABC, BCD and ACD respectively. Prove that EFGH is a rectangle and ra + rc = rb + rd.

 




 


 

 

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Last updated: July 1, 2007