MathDB
Right triangle sides in arithmetic progression

Source: 1959 AMC 12 Problem 7

August 13, 2013
ratioAMCright triangleAMC 12

Problem Statement

The sides of a right triangle are a,a+d,a, a+d, and a+2da+2d, with aa and dd both positive. The ratio of aa to dd is: <spanclass=latexbold>(A)</span> 1:3<spanclass=latexbold>(B)</span> 1:4<spanclass=latexbold>(C)</span> 2:1<spanclass=latexbold>(D)</span> 3:1<spanclass=latexbold>(E)</span> 3:4 <span class='latex-bold'>(A)</span>\ 1:3 \qquad<span class='latex-bold'>(B)</span>\ 1:4 \qquad<span class='latex-bold'>(C)</span>\ 2:1\qquad<span class='latex-bold'>(D)</span>\ 3:1\qquad<span class='latex-bold'>(E)</span>\ 3:4