MathDB
2004 General, part 1 #7

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March 8, 2024
geometry

Problem Statement

Let ACEACE be a triangle with a point BB on segment ACAC and a point DD on segment CECE such that BDBD is parallel to AEAE. A point YY is chosen on segment AEAE, and segment CYCY is drawn. Let XX be the intersection of CYCY and BDBD. If CX=5CX = 5, XY=3XY = 3, what is the ratio of the area of trapezoid ABDEABDE to the area of triangle BCDBCD? https://cdn.artofproblemsolving.com/attachments/9/2/d6c723e54dbc4c88c12aa6a6ee91ae9e3ea581.png
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