Question

Please help :)

Find the center of the circle that you can circumscribe about each TriangleABC.

A (2,5)
B (-2,5)
C (-2,-1)

Or just say how to find the circumcenter thank you!!

Answer 1

You can say that the center is an arbitrary point at (x0, y0)

The distance from each point to the center is the same

d^2 = (x-x0)^2 + (y-y0)^2

Plug in each point into this equation (plug into x and y) and you have a 3x3 system that you can solve for x0 y0 which is the center and d which is the radius. Then you have the equation by putting these constants into the above equation.