MathDB
Decomposable numbers - IMO LonList 1992 TWN2

Source:

September 2, 2010
geometry3D geometrypyramidIMO ShortlistIMO Longlist

Problem Statement

Given any triangle ABCABC and any positive integer nn, we say that nn is a decomposable number for triangle ABCABC if there exists a decomposition of the triangle ABCABC into nn subtriangles with each subtriangle similar to △ABC\triangle ABC. Determine the positive integers that are decomposable numbers for every triangle.
Back to ProblemsView on AoPS