the circumcenter of a triangle is
equidistant from the vertices/angles of the triangle
The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the three sides of the triangle. It is the center of the circumcircle that passes through all three vertices of the triangle. The circumcenter is equidistant from all three vertices of the triangle, and also lies on the three perpendicular bisectors of the sides.
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