convex k-gon of largest area inscribed in convex n-gon
Source: VI All-Ukrainian Tournament of Young Mathematicians, Qualifying p18
May 25, 2021
geometryconvexconvex polygonmaxareageometric inequalityUkrainian TYM
Problem Statement
The convex polygon is given in the plane. Denote by the convex -gon of the largest area, with vertices at the points and by the convex k-gon of the largest area with vertices at the points in which one of the vertices is in . Set the relationship between the order of arrangement in the sequence vertices:
1) and
2) and
3) and