2022 OIM Problems/Problem 1

Problem

Let $ABC$ be an equilateral triangle with circumcenter $O$ and circumcircle $\Gamma$ . Let $D$ be a point on the minor arc $BC$ , with $DB > DC$ . The perpendicular bisector of $OD$ intersects $\Gamma$ at $E$ and $F4, with$ E $on the minor arc$ BC $. Let$ P $be the intersection point of lines$ BE $and$ CF $. Prove that$ PD $is perpendicular to$ BC$.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Page

Toolbox

Search

2022 OIM Problems/Problem 1

Problem

Solution

See also