Cardboard equilateral triangles
Source: Cono Sur 2004 #5
November 18, 2015
combinatorial geometrycombinatoricscono sur
Problem Statement
Using cardboard equilateral triangles of side length , an equilateral triangle of side length is formed. An equilateral triangle of side whose center coincides with the center of the large triangle is removed.
Determine if it is possible to completely cover the remaining surface, without overlaps or holes, using only pieces in the shape of an isosceles trapezoid, each of which is created by joining three equilateral triangles of side .