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Application problem: Resource Center

Your school district intends to establish a student resource center that will serve three of the highest-need high schools in the area. They have proposed many potential sites for this new structure, but must guarantee that it is easily accessible for all of the students from these schools.

Let A, B, and C represent the locations of three schools in your district on the coordinate plane.

Do you believe it would be a good idea to locate the resource center at point D (3,2)? How do you know?

Let A, B, and C represent the locations of three schools in your district on the coordinate plane.

Do you believe it would be a good idea to locate the resource center at point E (3,3)? How do you know?

Let A, B, and C represent the locations of three schools in your district on the coordinate plane.

Do you believe it would be a good idea to locate the resource center at point F (5,2)? How do you know?

Which location would you recommend for the resource center? Why?