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The circumcenter of a triangle is the point where the three perpendicular bisectors meet, located inside acute triangles, at the midpoint of the hypotenuse in right triangles, and outside obtuse triangles opposite the obtuse angle.

Diagram showing the circumcenter of a triangle, illustrating its position in acute, right, and obtuse triangles with perpendicular bisectors and a circumscribed circle.

Diagram showing the circumcenter of a triangle, illustrating its position in acute, right, and obtuse triangles with perpendicular bisectors and a circumscribed circle.

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