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2017 AMC 10BProblem 15P11-15~4 minPrint
Similar & Congruent TrianglesTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

Rectangle ABCDABCD has AB=3AB=3 and BC=4BC=4 . Point EE is the foot of the perpendicular from BB to diagonal AC‾\overline{AC} . What is the area of △AED\triangle AED ?

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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.