Question

"three food trucks are set up at points a, b, and c. each of the three trucks is the same distance from the food distributor. at which point of concurrency is the food distributor located?"

Answer 1

circumcenter

Explanation:

Suppose the three food trucks points a,b,c are joined together in such a way that the form a triangle. The perpendicular bisectors of the triangle are concurrent . The point of concurrency is called circumcenter.

According to the circumcenter theorem the points ( vertices of the triangle a,b,c) are equidistant from the center D ( point of concurrency) called the circumcenter.

As the food distributor is equidistant from each of the trucks it lies at the circumcenter point of concurrency.

The drawing is just a generalizations to give an idea. It does not show actual bisectors perpendicular.