Rational Trigonometry/8

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Centers of Triangles with Rational Trigonometry

Circumcenter
The circumcenter is at the intersection of the three perpendicular bisectors of the edges. Interestingly, the circumcenter has equal quadrance to the three vertices.

Orthocenter
The orthocenter is the intersection of the altitudes of the edges.

Centroid
The join of the three medians, the center of mass.