Question

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 1

Answer:

The middle of the triangle.

Step-by-step explanation:

If the 3 towns each have a highway connecting the center of each town then you place it in the middle of the triangle.  Which would be equadistant from each of the centers of the town.

Answer 2

Answer:

In order for the tower to have an equal distance from each center, the company must find which point is equidistant from the vertices of the triangle. This will be the circumcenter of the triangle. This can be found through constructing the point of concurrency of the perpendicular bisectors the triangle has.

Step-by-step explanation:

This is pretty much the sample response but I rephrased it. :D