MathDB
KO _|_ AC, symmetric, incenter - All-Russian MO 2000 Regional (R4) 8.7

Source:

September 25, 2024
geometryincenter

Problem Statement

Angle bisectors ADAD and CECE of triangle ABCABC intersect at point OO. A line symmetrical to AB AB with respect to CECE intersects the line symmetric BCBC with respect to ADAD, at point KK. Prove that KO⊥ACKO \perp AC.
Back to ProblemsView on AoPS