MathDB
Cute geometry with orthocenter and circumcenter

Source: Kyiv City MO 2022 Round 1, Problem 11.3

January 23, 2022
geometryorthocenterCircumcentercircumcircle

Problem Statement

Let HH and OO be the orthocenter and the circumcenter of the triangle ABCABC. Line OHOH intersects the sides AB,ACAB, AC at points X,YX, Y correspondingly, so that HH belongs to the segment OXOX. It turned out that XH=HO=OYXH = HO = OY. Find ∠BAC\angle BAC.
(Proposed by Oleksii Masalitin)
Back to ProblemsView on AoPS