MathDB
Pythagorean Theorem time

Source: 1959 AMC 12 Problem 15

August 13, 2013
AMC

Problem Statement

In a right triangle the square of the hypotenuse is equal to twice the product of the legs. One of the acute angles of the triangle is: <spanclass=latexbold>(A)</span> 15<spanclass=latexbold>(B)</span> 30<spanclass=latexbold>(C)</span> 45<spanclass=latexbold>(D)</span> 60<spanclass=latexbold>(E)</span> 75 <span class='latex-bold'>(A)</span>\ 15^{\circ} \qquad<span class='latex-bold'>(B)</span>\ 30^{\circ} \qquad<span class='latex-bold'>(C)</span>\ 45^{\circ} \qquad<span class='latex-bold'>(D)</span>\ 60^{\circ} \qquad<span class='latex-bold'>(E)</span>\ 75^{\circ}