MathDB
locus of R, PQR equilateral, P inside square ABCD, Q on sides

Source: 1966-67 Germany R4 12.1 https://artofproblemsolving.com/community/c3208025_

October 13, 2024
geometryLocusEquilateralsquare

Problem Statement

In a plane, a square ABCDABCD and a point PP located inside it are given. Let a point Q Q pass through all sides of the square. Describe the set of all those points RR in for which the triangle PQRPQR is equilateral.