Three neighbors need to locate their mailboxes so that the mail carrier will only need to make one stop each day for all three of them. They decide to choose a spot for the mailboxes so that each neighbor is required to walk the same distance from his/her home to the mailbox. If points A, B, and C represent the three homes, where should they place the mailboxes? Justify your answer.

Question

Answer 1

The point of intersection of the perpendicular bisectors of AB and AC will be the point which
is equidistant from each of the three points.