As the professor mentioned in lecture, (x,y) is the centroid of the triangle. As a thought exercise, it's interesting to think of an alternate system where α\alphaα=β\betaβ=γ\gammaγ=13\frac{1}{3}31 instead provides an orthocenter, circumcenter, or incenter.
As the professor mentioned in lecture, (x,y) is the centroid of the triangle. As a thought exercise, it's interesting to think of an alternate system where α=β=γ=31 instead provides an orthocenter, circumcenter, or incenter.