You are watching: The circumcenter of a triangle is equidistant from the
The circumcenter that a triangle is the point where the three perpendicular bisectors that a triangle meet. The is also the facility of the circumcircle (the circle the goes v the vertices the the triangle). Sometimes the circumcenter is outside of the triangle, itself.
Think around what that means: What carry out you know around circles? What is the facility of a circle? The facility of a one is equidistant to all points ~ above the circle. This means that the circumcenter is equidistant to every one of the vertices that the triangle because the circumcircle touch all three vertices.
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