calculate centroid of triangle on a graph Given ANY three points on a graph that form a triangle, how do you find the centroid using geometry? So basically I have three points (X1, Y1), (X2, Y2), and (X3, Y3). I am trying to use the slopes between opposing points to find the centroid but I am currently stuck. I'm not sure how to use geometry/algebra to solve for the centroid coordinates exactly without integration. Thanks!

Whether or not the points lie on a graph we have for a set of $n$ points
$$ \bar{x} = \Sigma x_i/n, \bar{y} = \Sigma y_i/n, $$
For a triangle $n=3.$
