MathDB
2014 Guts #14: Similar, but not Congruent

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April 20, 2014
geometrytrapezoid

Problem Statement

Let ABCDABCD be a trapezoid with AB∥CDAB\parallel CD and ∠D=90∘\angle D=90^\circ. Suppose that there is a point EE on CDCD such that AE=BEAE=BE and that triangles AEDAED and CEBCEB are similar, but not congruent. Given that CDAB=2014\tfrac{CD}{AB}=2014, find BCAD\tfrac{BC}{AD}.
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