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Construct the Circumcenter of a Triangle

High School Math based on the topics required for the Regents Exam conducted by NYSED.

Constructing the Circumcenter :
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.

Constructing a Circumcenter
Using compass and straigtedge to construct the circumcenter of a triangle

Circumcenter

Circumcenter
Locating the circumcenter involves constructing three perpendicular bisectors of a triangle

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