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d^2+(a-b)^2<c^2 where d is diameter of incricle (HOMC 2009 Q10)

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July 25, 2019
geometryinequalitiesgeometric inequality

Problem Statement

Prove that d2+(ab)2<c2d^2+(a-b)^2<c^2 ,where dd is diameter of the inscribed circle of ABC\vartriangle ABC