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 $[APQ]$ .