What term best describes the point where the three medians of a triangle intersects

CENTROID is the term used to describe the point where the three medians of a triangle intersect.

Centroid is the center of gravity of the triangle. It is one of the triangle's point of concurrency. Aside from "center of gravity", it is also known as "center of mass" and "barycenter".

Centroids are always inside the triangle. Since, the centroid is where three medians intersect, each median divides the triangle into two smaller triangles of equal area. The centroid is exactly two-thirds the way along each median.

Other types of triangle centers aside from Centroids are:
1) incenter
2) circumcenter
3) orthocenter