Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.

Answer:

The company should place the tower at the circumcenter of the triangle formed by the three towns. The circumcenter is the point that is equidistant from the vertices (the towns). To find this point, the company needs to construct the perpendicular bisectors of the three sides of the triangle; the point where these bisectors intersect is the location for the tower.