2 3 Median Of Triangle. In a triangle a median is a line joining a vertex with the mid point of the opposite side. See perpendicular bisector of a line segment with compass and straightedge for method and proof.
And to do that i ll draw an arbitrary triangle. The centroid divides the length of each median in 2 1 ratio. The conclusion is therefore that the medians of a triangle intersect each other in the ratio 2 1.
It is always located inside the triangle like the incenter another one of the triangle s concurrent points the centroid divides each median in a ratio of 2 1.
Or another way to think about it is this distance is 2 3 of the length of the entire median and this distance right here is 1 3 of the length of the entire median. In other words the centroid will always be 2 3 of the way along any given median. The area of the triangle is divided into half by a median. S is the midpoint of pq.
