MathNet 2023-part-05 — 191 problems (EN–VI) Question 148

Let $ABC$ be a triangle with circumcircle $(O)$ with orthocenter $H$. Take $X \in AB$, $Y \in AC$ such that $XB = XH$, $YC = YH$. Prove that $O$ belongs to the Euler line of triangle $AXY$.