You are asked to help design a Three Lock Box. Your job is to decide the locations of the three locks. The door is a unit square. To operate properly, each lock must be the same distance from the nearest door edge and also that same distance from each of the other two locks.
In geometry, a door can be represented as a unit square, with each side measuring one unit in length. This simple shape can serve as a model for various types of doors, including the standard entry door or a screen door. When considering home improvements or renovations, one common task is
replacing storm doors, which are often designed to fit snugly within the framework of a unit square. By using this geometric representation, homeowners can better visualize the dimensions and ensure a proper fit when selecting new doors for their entrances.