In triangle ABC, let P and R be the feet of the perpendiculars from A onto the external and internal bisectors of ∠ABC, respectively; and let Q and S be the feet of the perpendiculars from A onto the internal and external bisectors of ∠ACB, respectively. If PQ=7,QR=6 and RS=8, what is the area of triangle ABC? geometryareaangle bisectorperpendicular