Area of triangle

Geometry Level 3

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

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