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Problem 342. Pentagon, Inscribed Circle, Tangent, Semiperimeter.
Level: High School, College, SAT Prep.

The figure shows a pentagon ABCDE with the inscribed circle O tangent to sides at F, G, H, M, and N. If s is the semiperimeter of the pentagon, prove that s = AB + CD + EN = BC + DE + AN. 

Circumscribed pentagon, semiperimeter, tangent


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