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?

Answer 1

This is only possible when the triangle that is formed by the 3 towns is an equilateral triangle, so that the center will have the same distance in each town. Assuming an equilateral triangle, the center is at 1/3 of the height of the equilateral triangle