step 3- they are equidistant and the centroids are the medians
step 4/5 the length of the longer segment to the shorter was 2:1. it was the same for all medians.
Median Concurrency Conjecture
-------------------------------------
the three medians of a triangle are concurrent
centroid conjecture-The centroid of a triangle divides each median into two parts so that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side