For the next Fourth of July, the towns of Ashton, Bradford, and Clearview will launch a fireworks display from a boat in the lake.
Graph the perpendicular bisectors and enter the coordinates to show where the boat should be positioned so that it is the same distance from all three towns. Round to the nearest tenth. Complete the justification for your graph.
Ashton
Bradford
Clearview
LAB
AC
BC
The boat should be positioned at location ________.
Let the three towns be vertices of a triangle. By the Circumcenter Theorem, the circumcenter of the triangle is equidistant from the vertices. To find the circumcenter, find the perpendicular bisectors of each side. The position of the boat is the circumcenter.