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Maximum in equilateral triangle

Source: 1961 All-Soviet Union Olympiad

August 4, 2015
geometryEquilateral Trianglemaximum value

Problem Statement

Point PP and equilateral triangle ABCABC satisfy ∣AP∣=2|AP|=2, ∣BP∣=3|BP|=3. Maximize ∣CP∣|CP|.
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