📐 Triangle Centers

Triangle Centers

Every triangle has four classical centres. The incenter (intersection of angle bisectors) is the centre of the inscribed circle. The circumcenter (perpendicular bisectors) is the centre of the circumscribed circle. The centroid (medians) is the centre of mass. The orthocenter (altitudes) completes the set. Remarkably, the circumcenter, centroid, and orthocenter always lie on a single line — the Euler line.