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2003 AMC 10BProblem 20P16-20~3 minPrint
Similar & Congruent TrianglesTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

In rectangle ABCD,AB=5ABCD, AB=5 and BC=3BC=3 . Points FF and GG are on CD‾\overline{CD} so that DF=1DF=1 and GC=2GC=2 . Lines AFAF and BGBG intersect at EE . Find the area of △AEB\triangle AEB .
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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2003 12B #14.