TOT 479 1995 Autumn S A3 cutting a rectangle into right triangles
Source:
July 9, 2024
geometryrectanglegeometric inequalitycombinatoricscombinatorial geometry
Problem Statement
A rectangle with sides of lengths and () is cut into rightangled triangles so that any two of these triangles either have a common side, a common vertex or no common points. Moreover, any common side of two triangles is a leg of one of them and the hypotenuse of the other. Prove that .(A Shapovalov)