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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.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.

Respuesta :

Lanuel

The company can find where to place the tower by determining the point of concurrency of these three (3) towns.

What is a triangle?

A triangle refers to a two-dimensional shape that is typically made up of three (3) sides, three (3) vertices and three (3) angles. This ultimately implies that, a polygon that has three (3) lengths of sides is a triangle.

What is a point of concurrency?

A point of concurrency can be defined as a single point that is shared by three (3) or more lines, segments, rays, or planes. Thus, a triangle is considered to be concurrent when at least three (3) lines intersect at a single point.

  • Based on geometry, the point (circumcenter) that is equidistant from the vertices of the triangular tower would be equal in distance from each of the centers of these three (3) towns.

  • Generally, the circumcenter of a triangle can easily be determined by constructing the point of concurrency of the perpendicular bisectors of a triangle.

In conclusion, the company can find where to place the tower by determining the point of concurrency of these three (3) towns, so that they all have the same distance from the centers.

Read more on point of concurrency here: https://brainly.com/question/11844452

Answer:

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 tower needs to be equidistant from the vertices of the triangle.

The tower should be placed at the circumcenter of the triangle.

To find the circumcenter, find the intersection point of the three perpendicular bisectors of the triangle.

Step-by-step explanation:

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