MathDB
concurrent wanted, AD _|_AP, projections on angle bisector

Source: Champions Tournament (Ukraine) - Турнір чемпіонів - 2003 Seniors p1

September 6, 2020
geometryconcurrentconcurrencyperpendicularangle bisectorChampions Tournament

Problem Statement

Consider the triangle ABCABC, in which AB>ACAB > AC. Let PP and QQ be the feet of the perpendiculars dropped from the vertices BB and CC on the bisector of the angle BACBAC, respectively. On the line BCBC note point BB such that AD⊥AP.AD \perp AP. Prove that the lines BQ,PCBQ, PC and ADAD intersect at one point.
Back to ProblemsView on AoPS