Question

Three friends are planning to visit each other. To optimize travel time, they want the meeting place to be equidistant from the three different cities they live in. The cities are located at A(-16, -1), B(1, 6), and C(1, -18). What are the coordinates where the meeting should take place?

Answer 1

The center of the circle lies on the intersection of the perpendicular bisectors of the sides.

Since one side lies on the line x=1, its perpendicular bisector is the line y = -6

Now find the midpoint of one other side, and see where its bisector intersects y = -6.