Your neighbor manages a campground during summer vacation. He loves math so much that he has mapped the campground on a coordinate grid. The campsites have the following coordinates: Brighton Bluff at B(2, 2), Punaganset Peak at P(4, 10) and Harmony Hall at (12, 2). He wants to build showers that are equidistant from all three campsites.

Required:
Use coordinate geometry and the concepts covered to find the coordinated of the point where the showers should be placed. Refer to example