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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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Home | Geometry | Search | Problems | Open Problems | 10 Problems | 31-40 | Circle Tangent Line | Email | By Antonio Gutierrez
Last updated: Sep 19, 2014

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