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2011 AMC 10BProblem 9P1-10~3 minPrint
Similar & Congruent TrianglesTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

The area of △\triangle EBDEBD is one third of the area of 3−4−53-4-5 △\triangle ABCABC . Segment DEDE is perpendicular to segment ABAB . What is BDBD ?

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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.