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2014 AMC 10B Question 21

AMC10 · 2014 AMC 10B

Question 21

Trapezoid $ ABCD $ has parallel sides $ \overline{AB} $ of length $ 33 $ and $ \overline {CD} $ of length $ 21 .$ The other two sides are of lengths $ 10 $ and $ 14 .$ The angles $ A $ and $ B $ are acute. What is the length of the shorter diagonal of $ ABCD ?$
  1. $ 10\sqrt{6} $
  2. $ 25 $
  3. $ 8\sqrt{10} $
  4. $ 18\sqrt{2} $
  5. $ 26$