Partition of pentagon into triangles
Source: 42nd International Tournament of Towns, Senior O-Level P1, Spring 2021
February 18, 2023
geometryTournament of Towns
Problem Statement
[*]A convex pentagon is partitioned into three triangles by nonintersecting diagonals. Is it possible for centroids of these triangles to lie on a common straight line?
[*]The same question for a non-convex pentagon.Alexandr Gribalko