MathDB
Legs and Hypotenuse

Source:

February 7, 2009
ratio

Problem Statement

If the ratio of the legs of a right triangle is 1:2 1: 2, then the ratio of the corresponding segments of the hypotenuse made by a perpendicular upon it from the vertex is: <spanclass=latexbold>(A)</span> 1:4<spanclass=latexbold>(B)</span> 1:2<spanclass=latexbold>(C)</span> 1:2<spanclass=latexbold>(D)</span> 1:5<spanclass=latexbold>(E)</span> 1:5 <span class='latex-bold'>(A)</span>\ 1: 4 \qquad <span class='latex-bold'>(B)</span>\ 1: \sqrt{2} \qquad <span class='latex-bold'>(C)</span>\ 1: 2 \qquad <span class='latex-bold'>(D)</span>\ 1: \sqrt{5} \qquad <span class='latex-bold'>(E)</span>\ 1: 5