convex n-gons with each side of 1st > each side of 2nd, what about diagonals?
Source: Sharygin 2010 Final 10.3
November 25, 2018
geometryconvex polygonInequalitygeometric inequalitydiagonalsdiagonal
Problem Statement
All sides of a convex polygon were decreased in such a way that they formed a new convex polygon. Is it possible that all diagonals were increased?