Three of them are the medians of the triangle ( which connect the sides ' midpoints with the opposite vertices ) .
These are concurrent at the triangle 's centroid ; indeed , sides are the only area bisectors that go through the centroid .
Three of them are the medians of the triangle ( which connect the sides ' midpoints with the opposite vertices ) , and these are concurrent at the triangle 's centroid ; indeed , they are the only area bisectors that go through the centroid .