MathDB
locus revisited

Source: 2012 Sharygin Geometry Olympiad Final Round 10.4

August 3, 2018
Locusright trianglesquaregeometry

Problem Statement

Consider a square. Find the locus of midpoints of the hypothenuses of rightangled triangles with the vertices lying on three different sides of the square and not coinciding with its vertices.
(B.Frenkin)