The Three Medians Of A Triangle Intersect At A Point In The Interior Of The Triangle. Also known as its center of gravity center of mass or barycenter. THIS SET IS OFTEN IN FOLDERS WITH.
So let me just remind you of some terminology. From the areas calculated it is easy to see that after drawing all the three medians the original triangle is divided into six triangles that are all of the same area. The three medians of any nondegenerate triangle intersect in a single point.
The medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side.
A fascinating fact is that the centroid is the point where the triangles medians intersect. Your statement says that both of the other medians must pass through that point hence the three are coincident at that point. The perpendicular bisectors of the three sides of a triangle intersect to form which point of concurrency. From the areas calculated it is easy to see that after drawing all the three medians the original triangle is divided into six triangles that are all of the same area.
