MathDB
Medians of Right Triangle

Source:

February 1, 2009
Pythagorean Theoremgeometry

Problem Statement

The medians of a right triangle which are drawn from the vertices of the acute angles are 5 5 and 40 \sqrt {40}. The value of the hypotenuse is: <spanclass=latexbold>(A)</span> 10<spanclass=latexbold>(B)</span> 240<spanclass=latexbold>(C)</span> 13<spanclass=latexbold>(D)</span> 213<spanclass=latexbold>(E)</span> none of these <span class='latex-bold'>(A)</span>\ 10 \qquad<span class='latex-bold'>(B)</span>\ 2\sqrt {40} \qquad<span class='latex-bold'>(C)</span>\ \sqrt {13} \qquad<span class='latex-bold'>(D)</span>\ 2\sqrt {13} \qquad<span class='latex-bold'>(E)</span>\ \text{none of these}