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2004 HMMT Geometry # 1

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March 3, 2024
geometry

Problem Statement

In trapezoid ABCDABCD, ADAD is parallel to BCBC. ∠A=∠D=45o\angle A = \angle D = 45^o, while ∠B=∠C=135o\angle B = \angle C = 135^o. If AB=6AB = 6 and the area of ABCDABCD is 3030, find BCBC. https://cdn.artofproblemsolving.com/attachments/0/8/d667522259c773435bc53f5988831aceaef7b7.png
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