MathDB
Points on a straight line

Source: SAMO 2016 Q3

September 24, 2016
geometry

Problem Statement

The inscribed circle of triangle ABCABC, with centre II, touches sides BCBC, CACA and ABAB at DD, EE and FF, respectively. Let PP be a point, on the same side of FEFE as AA, for which ∠PFE=∠BCA\angle PFE = \angle BCA and ∠PEF=∠ABC\angle PEF = \angle ABC. Prove that PP, II and DD lie on a straight line.
Back to ProblemsView on AoPS