equilateral wanted, started with intersection of 2 perp. lines with a circle
Source: TOT 426 1994 Autumn A J3 - Tournament of Towns
June 12, 2024
geometryEquilateral
Problem Statement
Two-mutually perpendicular lines and intersect each other at a point of the circumference of a circle, dividing it into three arcs. A point (,,) is taken on each arc so that the tangent line to the circumference at the point intersects and in two points at the same distance from (that is is the midpoint of the segment between them). Prove that the triangle is equilateral. (Przhevalsky)