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computational with a cyclic ABCD

Source: 2009 Puerto Rico Team Selection Test p5

October 23, 2021
geometrycyclic quadrilateral

Problem Statement

Let ABCD ABCD be a quadrilateral inscribed in a circle. The diagonal BD BD bisects AC AC. If AB=10 AB = 10, AD=12 AD = 12 and DC=11 DC = 11, find BC BC.
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