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min no of pieces, equilateral from equilaterals

Source: VI May Olympiad (Olimpiada de Mayo) 2000 L1 P4

September 22, 2022
geometryEquilateralequilateralscombinatorial geometry

Problem Statement

There are pieces in the shape of an equilateral triangle with sides 1,2,3,4,51, 2, 3, 4, 5 and 66 (5050 pieces of each size). You want to build an equilateral triangle of side 77 using some of these pieces, without gaps or overlaps. What is the least number of pieces needed?
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