Median of a triangle

From AoPSWiki

A median of a triangle is a cevian of the triangle that joins one vertex to the midpoint of the opposite side.

In the following figure, is a median of triangle .

Each triangle has 3 medians. The medians are concurrent at the centroid. The centroid divides the medians (segments) in a 2:1 ratio.

Stewart's Theorem applied to the case , gives the length of the median to side equal to This formula is particularly useful when is right, as by the Pythagorean Theorem we find that .

See Also

• Altitude
• Angle bisector
• Mass points
• Perpendicular bisector

This article is a stub. Help us out by expanding it.