What Are Triangle Medians?

Medians connect the midpoint of a side with the opposite vertex

Medians are the segments that go from one corner of a triangle to the middle of the side opposite it. Medians are side bisectors (they bisect a side), but not all side bisectors are medians.

If you connect all the medians in a triangle, the point at which they all intersect will be the geometric center (a.k.a. centroid) of the triangle.

All the red lines in the image below are medians.

In isosceles triangles, the medians that connect the unique base and vertex are also one of the triangle's altitudes. In equilateral triangles, all the medians are altitudes.