A Pre-RMO question! -26

Geometry Level 2

Let XOYXOY be a triangle with XOY=90°\angle XOY=90\degree. Let MM and NN be mid-points of OX\overline{OX} and OY\overline{OY} respectively.

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

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