Definition:Median of Triangle

This page is about the median of a triangle. For other uses, see median.

Definition

Let $\triangle ABC$ be a triangle.

A median is a cevian which bisects the opposite.

In the above diagram, $CD$ is a median.

Also known as

Some sources refer to the median of a triangle as a midline, but this term is used on $\mathsf{Pr} \infty \mathsf{fWiki}$ and elsewhere for a different concept.

Also see

• Results about medians of triangles can be found here.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): median: 2.
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): median (midline): 1.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): median (midline): 1.
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): median (of a triangle)
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): median (of a triangle)