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