locus of centroids of triangles inscribed in a triangle, similar in tetrahedrons
Source: 2011 Sharygin Geometry Olympiad Correspondence Round P13
April 4, 2019
LocusgeometryCentroidinscribed triangletetrahedron3D geometry
Problem Statement
a) Find the locus of centroids for triangles whose vertices lie on the sides of a given triangle (each side contains a single vertex).
b) Find the locus of centroids for tetrahedrons whose vertices lie on the faces of a given tetrahedron (each face contains a single vertex).