Triangle Median Identification: Line Segment Analysis in ABC Triangle

Look at the triangle ABC below.

Which of the line segments is the median?

To identify the median in triangle $ABC$, we will utilize the definition of a median: it is the line segment extending from a vertex of the triangle to the midpoint of the opposite side.

In the diagram, triangle $ABC$ is formed with vertices $A$, $B$, and $C$. We need to identify which of the segments is drawn from a vertex and intersects the opposite side at its midpoint.

Examine segment $FC$:

• $F$ appears to be a midpoint of side $AB$ of the triangle $ABC$.
• Line segment $FC$ originates from vertex $C$ and extends to $F$.

The segment $FC$ meets the criteria for a median as it connects vertex $C$ to the midpoint of $AB$.

Therefore, we conclude that the median of triangle $ABC$ is FC.