MathDB
dividing triangle sides, counting triangles without parallel sides

Source: Bulgaria 1979 P3

June 17, 2021
combinatoricsgeometrycombinatorial geometryTriangles

Problem Statement

Each side of a triangle ABCABC has been divided into n+1n+1 equal parts. Find the number of triangles with the vertices at the division points having no side parallel to or lying at a side of ABC\triangle ABC.