MathDB
Another config geo with concurrent lines

Source: BMO SL 2023 G5

May 3, 2024
geometryAZE BMO TSTTST

Problem Statement

Let ABCABC be a triangle with circumcenter OO. Point XX is the intersection of the parallel line from OO to ABAB with the perpendicular line to ACAC from CC. Let YY be the point where the external bisector of ∠BXC\angle BXC intersects with ACAC. Let KK be the projection of XX onto BYBY. Prove that the lines AK,XO,BCAK, XO, BC have a common point.
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