Hi, I have this math problem how I have to determine the ideal location for a sports arena, located equidistant from three town by using latitude and longitude.

I worked out the equations of the perpendicular bisectors of the three lines of my towns, but I am not sure how to find the voronoi vertex now.

The equations of the perpendicular bisectors are:

0.4713012053X + y= 49.38358634

5.518916149x + y= 64.56880636

3.101963209x -y= -38.63379521

Now I am not sure if I use the distance formula to find where they all meet or not?

Any help or suggestions would be greatly appreciated. thanks you!