Answer:
Step-by-step explanation:
Determine the perpendicular bisector of AB:
Slope of AB = (12-6)/(4-14) = -0.6
Midpoint of AB: ((4+14)/2, (12+6)/2) = (9, 9)
Perpendicular bisector: y = -0.6x + 14.4
Determine the perpendicular bisector of AC:
Slope of AC = (12-2)/(4+6) = 1
Midpoint of AC: ((4-6)/2, (12+2)/2) = (-1, 7)
Perpendicular bisector: y = x + 8
Circumcenter is the intersection of the perpendicular bisectors.
x + 8 = -0.6x + 14.4
1.6x = 6.4
x = 4
y = x + 8 = 12
(4,12)
