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computational geo with incircle 2013 BMT Individual 14

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January 2, 2022
geometryincircle

Problem Statement

Triangle ABCABC has incircle OO that is tangent to ACAC at DD. Let MM be the midpoint of ACAC. EE lies on BCBC so that line AEAE is perpendicular to BOBO extended. If AC=2013AC = 2013, AB=2014AB = 2014, DM=249DM = 249, find CECE.
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