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 \( [APQ] \).