MathDB
IMO Long List 1986 geometric inequality

Source:

August 29, 2010
inequalitiesgeometryrectangletrigonometrycyclic quadrilateralgeometry proposed

Problem Statement

Let a,b,c,da, b, c, d be the lengths of the sides of a quadrilateral circumscribed about a circle and let SS be its area. Prove that S≤abcdS \leq \sqrt{abcd} and find conditions for equality.
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