MathDB
2019 IGO Advanced P5

Source: 6th Iranian Geometry Olympiad (Advanced) P5

September 20, 2019
IGOIrangeometryparabola

Problem Statement

Let points A,BA, B and CC lie on the parabola Δ\Delta such that the point HH, orthocenter of triangle ABCABC, coincides with the focus of parabola Δ\Delta. Prove that by changing the position of points A,BA, B and CC on Δ\Delta so that the orthocenter remain at HH, inradius of triangle ABCABC remains unchanged.
Proposed by Mahdi Etesamifard
Back to ProblemsView on AoPS