MathDB
parallel wanted, incircle related (Kharkiv City XI 2012 - Ukr)

Source:

March 10, 2020
geometryparallelincircleKharkiv

Problem Statement

The incircle ω\omega of triangle ABCABC touches its sides BC,CABC, CA and ABAB at points D,ED, E and EE, respectively. Point GG lies on circle ω\omega in such a way that FGFG is a diameter. Lines EGEG and FDFD intersect at point HH. Prove that AB∥CHAB \parallel CH.
Back to ProblemsView on AoPS