2002 AMC 10B Problem 22

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