MathDB
inequality

Source: Ireland 1995

July 1, 2009
inequalitiesgeometry proposedgeometry

Problem Statement

Points A,X,D A,X,D lie on a line in this order, point B B is on the plane such that ∠ABX>120∘ \angle ABX>120^{\circ}, and point C C is on the segment BX BX. Prove the inequality: 2AD \ge \sqrt{3} (AB\plus{}BC\plus{}CD).
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