What are the coordinates of the circumcenter of the triangle?

The circumcenter is the intersection of  bisectors that are perpendicular to the sides.bisect in geometry means to cut into two equal parts.for side  , the bisector is a horizontal line that goes through the middle of that side. the midpoint of  is at coordinate . that point is at the middle of that side. it is horizontal so that it can be perpendicular to to perfectly cut it in half.for side  , the bisector is a vertical line that goes through the middle of that side. the midpoint of  is at coordinate  . it is vertical so that it can be perpendicular to to perfectly cut it in half., the perpendicular bisector would go through at an angle through the coordinate  . (you can see visually that (4,-1) is the middle of but you do not need to worry about that bisector.all the  bisecting lines would end up intersecting at , so is the circumcenter