Finding the Median in Triangle ABC: Geometric Construction Problem

Question

What is the median of triangle ABC?

AAABBBDDDCCCEEEFFF

Step-by-Step Solution

To determine the median of triangle ABC, we must identify a segment connecting a vertex of the triangle to the midpoint of the opposite side.

Examining the diagram, point F appears to be located on side AC. Given the configuration, point F divides side AC into two equal segments, which makes F the midpoint of AC.

Therefore, segment CF connects vertex C to the midpoint F of side AC. This characteristic aligns with the definition of a median in a triangle.

Hence, the median of triangle ABC is CF CF .

Answer

CF