MathDB
BMT 2015 Geometry Tiebreaker #1

Source:

August 12, 2023
geometry

Problem Statement

Let ABCDABCD be a parallelogram. Suppose that EE is on line DCDC such that CC lies on segment EDED. Then say lines AEAE and BDBD intersect at XX and lines CXCX intersects AB at F. If AB=7AB = 7,BC=13 BC = 13, and CE=91CE = 91, then find AFFB\frac{AF}{FB}.
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