4 Centres in a Triangle

Author:
Terry Tam
I = incenter (intersections of 3 angle bisectors) G = centroid (intersections of 3 medians) O = circumcenter (intersections of 3 perpendicular bisectors) H = orthocenter (intersections of 3 altitudes) I is the center of incircle (inscribed circle of a triangle) O is the center of circumcircle (triangle inscribed in a circle) G, O, H are co-linear.