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inequality in pentagon

Source: Russia 1994

October 6, 2008
inequalitiesgeometry proposedgeometry

Problem Statement

In a convex pentagon ABCDE ABCDE side AB AB is perpendicular to CD CD and side BC BC is perpendicular to DE DE. Prove that if AB \equal{} AE \equal{} ED \equal{} 1, then BC \plus{} CD < 1.
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