MathDB
area wanted, perpendiculars from vertices on int. and ext. angle bisectors

Source: 2020-21 IOQM p22

January 18, 2021
geometryareaangle bisectorperpendicular

Problem Statement

In triangle ABCABC, let PP and RR be the feet of the perpendiculars from AA onto the external and internal bisectors of ∠ABC\angle ABC, respectively; and let QQ and SS be the feet of the perpendiculars from AA onto the internal and external bisectors of ∠ACB\angle ACB, respectively. If PQ=7,QR=6PQ = 7, QR = 6 and RS=8RS = 8, what is the area of triangle ABCABC?
Back to ProblemsView on AoPS