Question

Find the circumcenter of the triangle ABC.

A(8,-8), B(-4, 4), C(8.4).
The circumcenter is
(Type an ordered pair.)

Answer 1

Circumcenter (x) = 2

Circumcenter (y) = -2

Answer 2

(2, -2)

Explanation:

Midpoint of BC: ([-4 + 8]/2, (4 + 4)/2) = (2, 4)

Perpendicular bisector of BC has equation: x = 2

Midpoint of AC: ([8 + 8]/2, (-8 + 4)/2) = (8, -2)

Perpendicular bisector of AC has equation y = -2

Point of intersection of the two perpendicular bisectors:

(2, -2)

Answer: (2, -2)