Convex polygon distances
Source:
November 26, 2016
geometry
Problem Statement
We have a convex polygon in the plane and two points in the boundary of , dividing the perimeter in a proportion . Three distinct points in the boundary, denoted by start to move simultaneously along the boundary, in the same direction and with the same speed. Prove that there will be a moment in which one of the segments will have a length smaller or equal than .