# 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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