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Trapezoid

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October 22, 2005
geometrytrapezoidrectangle

Problem Statement

Figure ABCDABCD is a trapezoid with AB∣∣DC,AB=5,BC=32,∡BCD=45∘AB || DC, AB = 5, BC = 3 \sqrt 2, \measuredangle BCD = 45^\circ, and ∡CDA=60∘\measuredangle CDA = 60^\circ. The length of DCDC is
<spanclass=′latex−bold′>(A)</span>7+233<spanclass=′latex−bold′>(B)</span>8<spanclass=′latex−bold′>(C)</span>912<spanclass=′latex−bold′>(D)</span>8+3<spanclass=′latex−bold′>(E)</span>8+33<span class='latex-bold'>(A) </span>7 + \frac{2}{3} \sqrt{3}\qquad <span class='latex-bold'>(B) </span>8\qquad <span class='latex-bold'>(C) </span>9 \frac{1}{2}\qquad <span class='latex-bold'>(D) </span>8 + \sqrt 3\qquad <span class='latex-bold'>(E) </span>8 + 3 \sqrt 3
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