The triangle ABC is shown below.
Which line segment is the median?
To solve this problem, we need to identify the median in triangle ABC:
- Step 1: Recall the definition of a median. A median is a line segment drawn from a vertex to the midpoint of the opposite side.
- Step 2: Begin by evaluating each line segment based on the definition.
- Step 3: Identify points on triangle ABC:
- AD is from A to a point on BC.
- BE is from B to a point on AC.
- FC is from F to a point on AB.
- Step 4: Determine if these points (D, E, F) are midpoints:
- Since BE connects B to E, and E is indicated to be the midpoint of segment AC (as shown), BE is the median.
- AD and FC, by visual inspection, do not connect to midpoints on BC or AB respectively.
Therefore, the line segment that represents the median is BE.
Thus, the correct answer is: BE