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