AMC 12 2002b 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 $XY$.

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