Your math teacher manages a campground during summer vacation. He loves math so much that he has mapped the campground on a coordinate grid. e campsites have the following coordinates: Brighton Blu at B(2, 2), Ponaganset Peak at P(4, 10), and Harmony Hill at H(12, 2). He wants to build showers that are equidistant from all three campsites. Find the coordinates of the point where the showers should be placed.

Question

Your math teacher manages a campground during summer vacation. He loves math so much that he has mapped the campground on a coordinate grid.  e campsites have the following coordinates: Brighton Blu  at B(2, 2), Ponaganset Peak at P(4, 10), and Harmony Hill at H(12, 2). He wants to build showers that are equidistant from all three campsites. Find the coordinates of the point where the showers should be placed.

directrix · Answer

The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle. 

The circumcenter  is the point of concurrency of the three perpendicular bisectors of each side of the triangle. 

To do this problem, find the coordinates of the circumcenter of the triangle determined by (2,2); (4,10); and (12, 2)