1965 AHSME Problems/Problem 8

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Problem

One side of a given triangle is 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:

$\textbf{(A)}\ 6\sqrt {6} \qquad  \textbf{(B) }\ 9\sqrt {2} \qquad  \textbf{(C) }\ 12 \qquad  \textbf{(D) }\ 6\sqrt{3}\qquad \textbf{(E) }\ 9$

Solution

\fbox{A}

See Also

1965 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
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