1959 AHSME Problems

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Problem 22

The line joining the midpoints of the diagonals of a trapezoid has length 3. If the longer side base is 97, then the shorter base is

$\mathrm{(A) \ 89 } \qquad \mathrm{(B) \ 90 } \qquad \mathrm{(C) \ 91 } \qquad \mathrm{(D) \ 92 } \qquad \mathrm{(E) \ 94 }$

Solution