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ugly geometry

Source: Romanian IMO Team Selection Test TST 1999, problem 10

May 8, 2005
geometryparallelograminequalitiestrigonometrygeometric transformationreflectionalgebra

Problem Statement

Let O,A,B,CO,A,B,C be variable points in the plane such that OA=4OA=4, OB=23OB=2\sqrt3 and OC=22OC=\sqrt {22}. Find the maximum value of the area ABCABC. Mihai Baluna
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