Constructing a Perpendicular at a Point on a Line - Problem 1 2,087 views
A square with a designated perimeter x can be constructed though knowledge of how to create a perpendicular bisector. First, bisect a line segment of length x. Repeat this process again to create four segments of length x/4. Duplicating one of these segments onto a new ray, constructing it so that it is perpendicular to the ray. Repeat with the other three segments to form a square—in which all four sides have the same length and all angles between sides are perpendicular.
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