The point where the three
perpendicular
bisectors of a triangle meet.

One of a triangle's points of concurrency.

One of a triangle's points of concurrency.

Try this Drag the orange dots on each vertex
to reshape the triangle. Note the way the three perpendicular bisectors always meet at a point - the circumcenter

One of several centers the triangle can have, the circumcenter is the point where the perpendicular bisectors of a triangle intersect. The circumcenter is also the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. As you reshape the triangle above, notice that the circumcenter may lie outside the triangle.

Incenter |
Located at intersection of the
angle bisectors.
See |

Circumcenter |
Located at intersection of the perpendicular bisectors of the sides See |

Centroid |
Located at intersection of the medians |

Orthocenter |
Located at intersection of the altitudes |

For more, and an interactive demonstration see Euler line definition.

- Triangle definition
- Hypotenuse
- Triangle interior angles
- Triangle exterior angles
- Triangle exterior angle theorem
- Pythagorean Theorem
- Proof of the Pythagorean Theorem
- Pythagorean triples
- Triangle circumcircle
- Triangle incircle
- Triangle medians
- Triangle altitudes
- Midsegment of a triangle
- Triangle inequality
- Side / angle relationship

- Perimeter of a triangle
- Area of a triangle
- Heron's formula
- Area of an equilateral triangle
- Area by the "side angle side" method
- Area of a triangle with fixed perimeter

- Right triangle
- Isosceles triangle
- Scalene triangle
- Equilateral triangle
- Equiangular triangle
- Obtuse triangle
- Acute triangle
- 3-4-5 triangle
- 30-60-90 triangle
- 45-45-90 triangle

- Incenter of a triangle
- Circumcenter of a triangle
- Centroid of a triangle
- Orthocenter of a triangle
- Euler line

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