Centroid Of Equilateral Triangle Ratio. The three medians also divide the triangle into six triangles each of which have the same area. Each value is divided by 3 because that is the average.
Showing that the centroid divides each median into segments with a 21 ratio or that the centroid is 23 along the median. The centroid is always inside the triangle Each median divides the triangle into two smaller triangles of equal area. The internal angle of the equilateral triangle is 60 0.
Created by Sal Khan.
We use Apolloniuss theorem to calculate the length of a median from the lengths of its side. See bottom set of pictures. Using this knowledge we can conclude that the orthocenter and the centroid are the same point in an equilateral triangle. Remember that the centroid divides each median in a ratio of 21.
