What are the coordinates of the circumcenter of this triangle?

ANSWER

The circumcenter is (2,1)

EXPLANATION

The midpoint of BC is (-3,2)

The equation of the perpendicular bisector of BC is x=2

The midpoint of AB is (-1,1)

The midpoint of AB is (-1,1)

The perpendicular bisector of AB is y=1.

These two lines intersect at (2,1).

The point of intersection of the perpendicular bisectors of a triangle is called the circumcenter of the triangle.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225