Art of Problem Solving

1962 AHSME Problems/Problem 15: Difference between revisions

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==Solution==
==Solution==
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==See Also==
{{AHSME 40p box|year=1962|before=Problem 14|num-a=16}}
[[Category:Introductory Geometry Problems]]
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Revision as of 21:16, 3 October 2014

Problem

Given triangle $ABC$ with base $AB$ fixed in length and position. As the vertex $C$ moves on a straight line, the intersection point of the three medians moves on:

$\textbf{(A)}\ \text{a circle}\qquad\textbf{(B)}\ \text{a parabola}\qquad\textbf{(C)}\ \text{an ellipse}\qquad\textbf{(D)}\ \text{a straight line}\qquad\textbf{(E)}\ \text{a curve here not listed}$

Solution

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See Also

1962 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Problem 16
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All AHSME Problems and Solutions

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