# Area of triangle

Geometry Level 3

In $$\triangle ABC, AB=14, BC = 13$$ and $$AC = 15$$ . Let P be a point on $$\overline{AB}$$ such that $$AP = 9$$, and let Q be a point on $$\overline{AC}$$ such that $$AQ = 5$$. If $$[ABC] = 84$$, compute $$[APQ]$$.

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