MathDB
Cyclic Quad

Source: USAMO 1999 Problem 2

October 3, 2005
inequalitiesgeometry proposedgeometry

Problem Statement

Let ABCDABCD be a cyclic quadrilateral. Prove that ∣AB−CD∣+∣AD−BC∣≥2∣AC−BD∣. |AB - CD| + |AD - BC| \geq 2|AC - BD|.
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