Medians of a Trianlge in Vector Space
by Venessa Brown
The goal of this assignment is to prove that meadians of a triangle is are concurrent and the they meet at a point 2/3 of the way from the vertex to the midpoint of the opposite side.
Prove that the medians of a triangle are concurrent:
Looking at the figure it appears that the medians meet at 2/3 of the way ( will be proved later). Will use this hunch to show that all the medians meet at a common point.
The medians do infact meet at a point 1/3 (u + v + w)
Prove that the centroid is 2/3 the distance from a vertex to the midpoint of the opposite side.
Let z be the point of concurrency. Then:
