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Determine the length of CD

Source: Mediterranean MO 2007

October 31, 2010
quadraticsgeometrycyclic quadrilateralgeometry unsolved

Problem Statement

The diagonals ACAC and BDBD of a convex cyclic quadrilateral ABCDABCD intersect at point EE. Given that AB=39,AE=45,AD=60AB = 39, AE = 45, AD = 60 and BC=56BC = 56, determine the length of CD.CD.
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