Difference between revisions of "1965 AHSME Problems/Problem 8"

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==See Also==
 
==See Also==
{{AHSME 40p box|year=1965|num-b=6|num-a=8}}
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{{AHSME 40p box|year=1965|num-b=7|num-a=9}}
  
 
[[Category:Introductory Geometry Problems]]
 
[[Category:Introductory Geometry Problems]]

Revision as of 09:09, 18 July 2024

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 7
Followed by
Problem 9
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All AHSME Problems and Solutions