Question

Find the coordinates of the circumcenter of the triangle with the vertices A (4, 12), B (14, 6), and C (-6, 2)

Answer 1

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)