University of South Carolina High School Math Contest/1993 Exam/Problem 16
Problem
In the triangle below, 
and 
are the midpoints of 
and 
respectively. 
and 
intersect at 
. If the length of 
is 4, then what is the length of 
?
Solution
and are the medians of 
, so their intersection point is the centroid of the triangle. Also, 
so 
is parallel to 
and thus 
and 
. Then 
. Since the centroid trisects the medians, 
and 
which is answer choice 
.
