Question

Which point in a triangle is equidistant from the vertices of the triangle?

Answer 1

Answer: The point of intersection of the perpendicular bisectors. On plato its C.

Answer 2

Since a point equidistant from two points lies on the perpendicular bisector of the segment determined by the two points, the circumcenter (labeled below) is the point of concurrency of the three perpendicular bisectors of each side of the triangle.