MathDB
Length of segment inside Triangle

Source:

January 11, 2009
geometrytrapezoidratio

Problem Statement

One side of a given triangle is 18 18 inches. Inside the triangle a line segment is drawn parallel to this side forming a trapezoid whose area is one-third of that of the triangle. The length of this segment, in inches, is: <spanclass=latexbold>(A)</span> 66<spanclass=latexbold>(B)</span> 92<spanclass=latexbold>(C)</span> 12<spanclass=latexbold>(D)</span> 63<spanclass=latexbold>(E)</span> 9 <span class='latex-bold'>(A)</span>\ 6\sqrt {6} \qquad <span class='latex-bold'>(B)</span>\ 9\sqrt {2} \qquad <span class='latex-bold'>(C)</span>\ 12 \qquad <span class='latex-bold'>(D)</span>\ 6\sqrt {3} \qquad <span class='latex-bold'>(E)</span>\ 9