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Equilateral Triangle Filling

Source: AMC 10 2008B Problem 7

March 1, 2008
ratiogeometryAMC

Problem Statement

An equilateral triangle of side length 10 10 is completely filled in by non-overlapping equilateral triangles of side length 1 1. How many small triangles are required? <spanclass=′latex−bold′>(A)</span> 10<spanclass=′latex−bold′>(B)</span> 25<spanclass=′latex−bold′>(C)</span> 100<spanclass=′latex−bold′>(D)</span> 250<spanclass=′latex−bold′>(E)</span> 1000 <span class='latex-bold'>(A)</span>\ 10 \qquad <span class='latex-bold'>(B)</span>\ 25 \qquad <span class='latex-bold'>(C)</span>\ 100 \qquad <span class='latex-bold'>(D)</span>\ 250 \qquad <span class='latex-bold'>(E)</span>\ 1000
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