A 2x2 grid covered in triangles
Source: 43rd International Tournament of Towns, Senior A-Level P7, Fall 2021
February 18, 2023
combinatoricscombinatorial geometryTournament of Towns
Problem Statement
A checkered square of size is covered by two triangles. Is it necessarily true that:[*]at least one of its four cells is fully covered by one of the triangles;
[*]some square of size can be placed into one of these triangles?Alexandr Shapovalov