MathDB
Turkey NMO 2008 1st Round - P28 (Combinatorics)

Source:

August 26, 2012
geometry

Problem Statement

A unit square from one of the corners of a 8×88\times 8 chessboard is cut and thrown. At least how many triangles are necessary to divide the new board into triangles with equal areas?
<spanclass=latexbold>(A)</span> 17<spanclass=latexbold>(B)</span> 19<spanclass=latexbold>(C)</span> 20<spanclass=latexbold>(D)</span> 21<spanclass=latexbold>(E)</span> None of the above <span class='latex-bold'>(A)</span>\ 17 \qquad<span class='latex-bold'>(B)</span>\ 19 \qquad<span class='latex-bold'>(C)</span>\ 20 \qquad<span class='latex-bold'>(D)</span>\ 21 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the above}