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Videos, worksheets, games and activities to help Geometry students learn how to construct the circumcenter of a triangle.

The point of concurrency of the three perpendicular bisectors of a triangle is the circumcenter. It is the center of the circle circumscribed about the triangle, making the circumcenter equidistant from the three vertices of the triangle. The circumcenter is not always within the triangle. In a coordinate plane, to find the circumcenter we first find the equation of two perpendicular bisectors of the sides and solve the system of equations.

Construct Circumcenter of an Acute Triangle

The circumcenter of an acute triangle is located inside the triangle

The circumcenter of a right triangle is at the midpoint of the hypotenuse.

The circumcenter of an obtuse triangle is outside the triangle opposite the obtuse angle.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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