MathDB
projection of tetrahedron onto planes; area ratio

Source: Serbia MO 2006 3&4th Grades P3

April 10, 2021
geometry3D geometrytetrahedronratioinequalities

Problem Statement

Show that for an arbitrary tetrahedron there are two planes such that the ratio of the areas of the projections of the tetrahedron onto the two planes is not less than 2\sqrt2.