MathDB

2

Part of 1999 USAMO

Problems(1)

Cyclic Quad

Source: USAMO 1999 Problem 2

10/3/2005
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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