Circumcenter of a Triangle
More Lessons for Grade 9
Videos, worksheets, games and activities to help Geometry students learn how to construct the circumcenter of a triangle.
What is 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.
How to construct the circumcenter of an acute triangle, a right triangle and an obtuse angle?
Construct Circumcenter of an Acute Triangle
The circumcenter of an acute triangle is located inside the triangle
Construct Circumcenter of a Right Triangle
The circumcenter of a right triangle is at the midpoint of the hypotenuse.
Construct Circumcenter of an Obtuse Triangle
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 widget 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.