1959 AHSME Problem 22

The line joining the midpoints of the diagonals of a trapezoid has length 3. If the longer base is 97, then the shorter base is: \textbf{(A)}\ 94 \qquad\textbf{(B)}\ 92\qquad\textbf{(C)}\ 91\qquad\textbf{(D)}\ 90\qquad\textbf{(E)}\ 89

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.