a. Refer to the campground problem from Task 1 on p. 340 of Algebra 1. Recall that the campsites have the following coordinates: Brighton Bluff at B (2, 2), Ponaganset Peak at P (4, 10), and Harmony Hill at H (12, 2). What are the coordinates of the point where the showers should be placed in order to be equidistant from all three campsites?

b. What is the term for the point that is equidistant from the vertices of a triangle?

Question

a. Refer to the campground problem from Task 1 on p. 340 of Algebra 1. Recall that the campsites have the following coordinates: Brighton Bluff at B (2, 2), Ponaganset Peak at P (4, 10), and Harmony Hill at H (12, 2). What are the coordinates of the point where the showers should be placed in order to be equidistant from all three campsites? 

b. What is the term for the point that is equidistant from the vertices of a triangle?