Question

A company is trying to decide where to build a cell phone tower so that its signal will have the same strength in 3 towns. The locations of the 3 towns are given by A(1, 1), B(13, 6), and C(13, 1). Find the coordinates where the cell phone tower should be located

Answer 1

The position of the cell phone tower is an illustration of the triangle midpoint

The cell phone tower should be located at  $(9, \frac 83)$

How to determine the coordinates of the cell phone tower

The coordinates are given as:

A(1, 1), B(13, 6), and C(13, 1)

The midpoint is then calculated as:

$(x,y) = \frac 13 * (x_1 + x_2 + x_2, y_1 + y_2 + y_3)$

So, we have:

$(x,y) = \frac 13 * (1 + 13+ 13, 1 + 6 +1)$

Evaluate the sum

$(x,y) = \frac 13 * (27, 8)$

Evaluate the product

$(x,y) = (9, \frac 83)$

Hence, the cell phone tower should be located at  $(9, \frac 83)$

Read more about midpoints at:

https://brainly.com/question/16828532