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Trapezoid problem

Source: 1959 AHSME Problem 22

August 14, 2013
geometrytrapezoidAMCAMC 12

Problem Statement

The line joining the midpoints of the diagonals of a trapezoid has length 33. If the longer base is 9797, then the shorter base is: <spanclass=′latex−bold′>(A)</span> 94<spanclass=′latex−bold′>(B)</span> 92<spanclass=′latex−bold′>(C)</span> 91<spanclass=′latex−bold′>(D)</span> 90<spanclass=′latex−bold′>(E)</span> 89 <span class='latex-bold'>(A)</span>\ 94 \qquad<span class='latex-bold'>(B)</span>\ 92\qquad<span class='latex-bold'>(C)</span>\ 91\qquad<span class='latex-bold'>(D)</span>\ 90\qquad<span class='latex-bold'>(E)</span>\ 89
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