Triangle and Bisector

Geometry Level 3

In \( \triangle ABC \) above, \( M \) is the midpoint of side \(BC, \) line segment \(AN\) bisects \( \angle BAC ,\) and \( \overline{ AN } \bot \overline{ BN }. \) If \( \overline{AB} =14\) and \(\overline{AC} =19,\) what is \( \overline{MN}?\)

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