Lines are concur, equilateral triangles, square
Source: Oral Moscow Geometry Olympiad 2024, 8-9.3
September 3, 2024
geometry
Problem Statement
An equilateral triangle is built inside the square on the side , and an equilateral triangle is built on the diagonal ( is inside this triangle). The segment intersects at point . Prove that the lines , and intersect at the same point.