This video tutorial [6:56] shows a proof that the centroid is located two-thrids of the way along each median. Proof is done algebraically.

Proves that if the orthocenter and centroid are the same point in a triangle then the triangle is a right triangle. [6:25]

This video tutorial [11:32] explains what a medial triangle is and proves that the medial triangle divides the original triangle into four congruent triangles. Proof uses triangle similarity and triangle congruence postulates.

Demonstrates that the circumcenter, orthocenter, and centroid of a triangle all lie on a line called an Euler line. [6:12]

This video tutorial [15:15] provides a two-dimensional proof that the centroid is located two-thirds the way along every median of a triangle. This is a follow up to the proof in three-dimensions provided in the video, "Triangle Median...

This video tutorial [8:59] reviews the definitions of median and centroid in relation to a triangle and proves that the centroid is two-thirds the way along a median. The proof is done be drawing a triangle in three-dimensions.

This video tutorial [9:00]explains how to find various measures of triangles formed by the medians of a right triangle. Based on the properties of the medians of a triangle, properties of centroids, and the Pythagorean theorem.

Provides a review of perpendicular bisectors, angle bisectors, medians, and altitudes and the special points of concurrency formed by these parts of a triangle. The points of concurrency are the circumcenter, incenter, centroid,and...

This video tutorial [7:46] demonstrates that the three medians of a triangle divide it into six smaller triangles with equal areas.

This video demonstrates that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median).

This video explains what a medial triangle is and proves that the medial triangle divides the original triangle into four congruent triangles.

A video demonstration of the magic and mystery of the Euler Line.

This video shows that the centroid is 2/3 of the way along a median.

This video proves that the centroid of a triangle is two-thirds the way along a median.

This video demonstrates how to find various measures of triangles formed by the medians of a right triangle.

Provides a review of perpendicular bisectors, angle bisectors, medians, and altitudes and the special points of concurrency formed by these parts of a triangle.

Proves that the circumcenter, orthocenter, and centroid all lie on the same line, the Euler line. Proof relies on understanding of properties of similar triangles and properties of special parts of a triangle. [9:50]