MathDB
Turkey NMO 2010 1st Round - P09 (Geometry)

Source:

July 26, 2012
geometry

Problem Statement

Let EE be a point outside of square ABCDABCD. If the distance of EE to ACAC is 66, to BDBD is 1717, and to the nearest vertex of the square is 1010, what is the area of the square?
<spanclass=latexbold>(A)</span> 200<spanclass=latexbold>(B)</span> 196<spanclass=latexbold>(C)</span> 169<spanclass=latexbold>(D)</span> 162<spanclass=latexbold>(E)</span> 144 <span class='latex-bold'>(A)</span>\ 200 \qquad<span class='latex-bold'>(B)</span>\ 196 \qquad<span class='latex-bold'>(C)</span>\ 169 \qquad<span class='latex-bold'>(D)</span>\ 162 \qquad<span class='latex-bold'>(E)</span>\ 144