rhombus and quad/ inscirbed in convex polygon, side of rhombus larger
Source: 1975 Hungary - Kürschák Competition p2
October 15, 2022
geometryrhombusinscribedGeometric Inequalities
Problem Statement
Prove or disprove: given any quadrilateral inscribed in a convex polygon, we can find a rhombus inscribed in the polygon with side not less than the shortest side of the quadrilateral.