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1990 AMC 12 #27

Source:

December 30, 2011
geometryAMC

Problem Statement

Which of these triples could not be the lengths of the three altitudes of a triangle?
<spanclass=latexbold>(A)</span> 1,3,2<spanclass=latexbold>(B)</span> 3,4,5<spanclass=latexbold>(C)</span> 5,12,13<spanclass=latexbold>(D)</span> 7,8,113<spanclass=latexbold>(E)</span> 8,15,17 <span class='latex-bold'>(A)</span>\ 1,\sqrt{3},2 \qquad<span class='latex-bold'>(B)</span>\ 3,4,5 \qquad<span class='latex-bold'>(C)</span>\ 5,12,13 \qquad<span class='latex-bold'>(D)</span>\ 7,8,\sqrt{113} \qquad<span class='latex-bold'>(E)</span>\ 8,15,17