University of South Carolina High School Math Contest/1993 Exam/Problem 16

Revision as of 20:17, 22 July 2006 by Joml88 (talk | contribs)

Problem

In the triangle below, $M, N,$ and $P$ are the midpoints of $BC, AB,$ and $AC$ respectively. $CN$ and $AM$ intersect at $O$. If the length of $CQ$ is 4, then what is the length of $OQ$?


An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.


$\mathrm{(A) \ }1 \qquad \mathrm{(B) \ }4/3 \qquad \mathrm{(C) \ }\sqrt{2} \qquad \mathrm{(D) \ }3/2 \qquad \mathrm{(E) \ }2$

Solution

Template:Sol

See also