Sample Response: For the tower to be the same distance from each of the centers, the company must find the point that is equidistant from the vertices of the triangle. This is the circumcenter of the triangle and can be found by constructing the point of concurrency of the perpendicular bisectors of the triangle.
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
<u>see the attached figure to better understand the problem</u>
therefore
<u>the answer is</u>
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
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