What is the median of triangle ABC?
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What is the median of triangle ABC?
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
Can a triangle have a right angle?
Look for equal segment markings (like small perpendicular lines) or visual symmetry. In this diagram, point F appears to divide side AC into two equal parts, making it the midpoint.
A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side. Medians focus on midpoints, altitudes focus on right angles.
Yes! Every triangle has exactly three medians - one from each vertex to the midpoint of the opposite side. They all meet at a point called the centroid.
CF connects vertex C to point F (the midpoint of side AC), which matches the median definition. CE connects vertex C to point E, but E is not the midpoint of any side of triangle ABC.
Think "middle" - a median goes to the middle point (midpoint) of the opposite side. The word "median" contains "med" which relates to "middle"!
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