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AMC 10 2014b Problem 21

  • Paper

Trapezoid ABCDABCD has parallel sides AB‾\overline{AB} of length 3333 and CD‾\overline {CD} of length 2121. The other two sides are of lengths 1010 and 1414. The angles AA and BB are acute. What is the length of the shorter diagonal of ABCDABCD? (A) 106(B) 25(C) 810(D) 182(E) 26\textbf{(A) }10\sqrt{6} \textbf{(B) }25 \textbf{(C) }8\sqrt{10} \textbf{(D) }18\sqrt{2} \textbf{(E) }26

Dataset text NuminaMath-1.5. Quoted with source.

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25

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