# A Pre-RMO question! -26

Geometry Level 2

Let $XOY$ be a triangle with $\angle XOY=90\degree$. Let $M$ and $N$ be mid-points of $\overline{OX}$ and $\overline{OY}$ respectively.

If $\overline{XN}=19cm$ and $\overline{YM}=22cm$. Find measure of $\overline{XY}$ in cm.

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