Question

Where is the circumcenter of any given triangle

Answer 1

One of several centers the triangle can have, the circumcenter is the point where the perpendicular bisectors of a triangle intersect. The circumcenter is also the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. As you reshape the triangle above, notice that the circumcenter may lie outside the triangle.

Answer 2

At the intersection of the perpendicular bisectors of each side.

Answer 3

It is the point of concurrence of the perpendicular bisectors or each side and also the tenter of the circumscribed circle.