MathDB
Triangle

Source:

February 20, 2006
geometryinequalitiestriangle inequalityAMC

Problem Statement

The sides of a triangle with positive area have lengths 4 4, 6 6, and x x. The sides of a second triangle with positive area have lengths 4 4, 6 6, and y y. What is the smallest positive number that is not a possible value of |x \minus{} y|? <spanclass=latexbold>(A)</span> 2<spanclass=latexbold>(B)</span> 4<spanclass=latexbold>(C)</span> 6<spanclass=latexbold>(D)</span> 8<spanclass=latexbold>(E)</span> 10 <span class='latex-bold'>(A)</span>\ 2 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 6 \qquad<span class='latex-bold'>(D)</span>\ 8\qquad<span class='latex-bold'>(E)</span>\ 10