A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to be equidistant from all 3 cities. What mathematical concept could they use to find a location that is equidistant from all 3 cities? Why is this a good method?

A circle is a collection of points all of which are on the circumference of the circle. If you use algebra and (x-h)^2 + (y-k)^2 = r^2 and the info contained in the coordinates (x,y) of each city, you can find h, k and r. Then r is the (equal) distance between each city and the center of the circle, where the new tower will be built.

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Anshuyadav Anshuyadav · Answer 2 · 2022-06-15T05:00:52+02:00

The cell phone company must be placed the new cell tower in the circumcenter of the triangle formed by the center of the three towns.

What is circumcenter?

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect.

According to the given question.

A cell phone company is looking to place a new tower to service 3 cities but the tower should be placed to be equidistant from all three cities.

This means that a point inside the triangle from where all the vertices of a triangle are at the same distance.

Therefore, circumcenter is the point where the company place the tower because it is the point of intersection of all the perpendicular bisectors of the sides and it is also the center of circumcircle.

Find out more information about circumcircle here:

https://brainly.com/question/24210939

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