Let $\triangle{XOY}$ be a right-angled triangle with $m\angle{XOY}=90^\circ$. 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$
Let $\triangle XOY$ be a right-angled triangle with $m\angle XOY=90^\circ$. Let $M,N$ be the midpoints of legs $OX,OY$, respectively. Given $XN=31$ and $YM=22$, find $XY$.