2002 AMC 12B Problem 20

Let \triangle XOY be a right-angled triangle with \angle XOY = 90^{\circ}. Let M and N be the midpoints of legs OX and OY, respectively. Given that XN = 19 and YM = 22, find XY.

\mathrm{(A)}\ 24 \qquad\mathrm{(B)}\ 26 \qquad\mathrm{(C)}\ 28 \qquad\mathrm{(D)}\ 30 \qquad\mathrm{(E)}\ 32

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