1962 AHSME Problems/Problem 15

Revision as of 22:45, 9 November 2013 by Fadebekun (talk | contribs) (Created page with "==Problem== Given triangle <math>ABC</math> with base <math>AB</math> fixed in length and position. As the vertex <math>C</math> moves on a straight line, the intersection point ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

"Unsolved"