A Perpendicular Bisector in a Triangle

Problem

In $\triangle ABC$ , the perpendicular bisector of side $BC$ meets $BC$ at $D$ and $AC$ at $M$ . If $\overrightarrow{AM}\cdot\overrightarrow{BC} = 6$ and $AB = 2$ , find $AC$ .

Answer

Solution

Difficulty	6/10
Topics	Triangle Geometry, vectors

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