The centroid triangle we made was able to balance on the median and centroid. We had to put the pencil to aline with the midpoint, median, and vertex. The reason why the triangle balances on the pencil is because of the center of gravity. The length of the shorter segment is 2 times smalller than the longer segment. We need the proportion to help find how many times does the shorter part of the median fits into the longer part of the median.