Construct the Circumcenter of a Triangle
More Lessons for High School Regents Exam
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 the Circumcenter of an Acute Triangle
Construction (Circumcenter - Obtuse Triangle)
Constructing the Circumcircle of a Right Triangle
Construction of the circumcircle of a right triangle, in which it is seen that the circumcenter lies at the midpoint of the hypotenuse.
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