Distances from a Point to Vertices of an Equilateral Triangle

This GeoGebra example demonstrates the distance relationships from an arbitrary interior point P to the three vertices A, B, C of an equilateral triangle. By constructing segments PA, PB, PC and applying 60-degree rotations to triangles PAB, PBC, and PCA around the vertices, the construction visually reveals geometric relationships among these distances. It is commonly used to explore Pompeiu's Th