The circumcenter of a triangle is the perpendicular bisectors meet.

If you want to find the circumcenter of a triangle, First find the slopes and midpoints of the lines of triangle. Then perpendicular bisectors of the triangle lines, Last Solve any two pair of equations, The intersection point is the circumcenter.

For example, There points A (1, 3), B (5, 5), C (7, 5), the circumcenter is(6, -2).

The circumcenter of a right triangle is at the center of the hypotenuse

The circumcenter of an acute triangle is inside the triangle

The circumcenter of an obtuse triangle is outside the triangle

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