MathDB
locus of vertex of equilateral

Source: Polish MO Second Round 1962 p5

August 31, 2024
geometryEquilateralLocussquare

Problem Statement

In the plane there is a square Q Q and a point P P . The point K K runs through the perimeter of the square Q Q . Find the locus of the vertex M M of the equilateral triangle KPM KPM .