Park and A Picnic

Question

I have attempted this many times after help and I can't complete it. Help? Please?
Three straight paths in a park create a triangle with picnic shelters at their vertices. The picnic shelters are located at (-24, 16), (56, -16) and (-72, -32). Where should a "splash pad" be placed if it is to be the same distance from each of the picnic shelters

Answer 1

Draw and label a diagram.

The point equidistant from each vertex is the circumcenter.

The circumcenter is the point where the perpendicular bisectors of the sides intersect.