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2014 AMC 10AProblem 22P21-25~5 minPrint
Triangles: Area & PythagoreanTrigonometryAdd construction lines/points (drop altitudes, extend segments, connect centers)Set up the equation/formula and compute; no special trick needed

In rectangle ABCDABCD , AB=20AB=20 and BC=10BC=10 . Let EE be a point on CD‾\overline{CD} such that ∠CBE=15∘\angle CBE=15^\circ . What is AEAE ?

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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.