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2005 JHMT Geometry #6

Source:

August 31, 2023
geometry

Problem Statement

Line DEDE cuts through triangle ABCABC, with DFDF parallel to BEBE. Given that BD=DF=10BD =DF = 10 and AD=BE=25AD = BE = 25, find BCBC. https://cdn.artofproblemsolving.com/attachments/0/e/d6e3d7c1f9bd15f4573ccd5fc67c190b9cf7e9.png
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