find circumcenter of a triangle with given points

Question

3. Given the points A(2,0) B(3,1) and C(7,0) find the coordinates of the circumcenter

Answer 1

The circumcenter of a triangle is the intersection of the three perpendicular bisectors of a triangle.

Find the midpoint of one side then the equation of the perpendicular bisector (use midpoint and negative reciprocal of slope of that one side to determine the equation of that line) in form y = mx + b.

Do the same for another side, to second equation of perpendicular bisector in form y = mx + b

since those two lines intersection set those equations equal to each other and solve for ,x then use value of x in either equation to solve for y.