MathDB
Inequality with bisectors

Source: St Petersburg Olympiad 2015, Grade 10, P3

October 17, 2017
geometryinequalities

Problem Statement

ABCDABCD - convex quadrilateral. Bisectors of angles AA and DD intersect in KK, Bisectors of angles BB and CC intersect in LL. Prove 2KL≥∣AB−BC+CD−DA∣2KL \geq |AB-BC+CD-DA|
Back to ProblemsView on AoPS