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cyclic quad. comp. geo (IV Soros Olympiad 1997-98 Correspondence 10.1)

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June 1, 2024
geometrycyclic quadrilateral

Problem Statement

Two sides of the cyclic quadrilateral ABCDABCD are known: AB=aAB = a, BC=bBC = b. A point KK is taken on the side CDCD so that CK=mCK = m. A circle passing through BB, KK and DD intersects line DADA at a point MM, different from DD. Find AMAM.
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