# If it's not six, then it must be

Geometry Level 3

Consider a triangle $$ABC$$ and $$M$$ the middle of the segment $$BC$$. Let the angle bisector of angle $$AMB$$ intersect side $$AB$$ at a point $$E$$ and the angle bisector of angle $$AMC$$ intersect side $$AC$$ at a point $$F$$. If $$AB=15, MC=5$$ and $$AC=12$$, find the integer value of the perimeter of the triangle $$AEF$$.

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