Given a line segment, construct an equilateral triangle whose sides have lengths equal to the length of the given segment.

Note. When working construction problems, you may assume your compass has memory. Additionally, you can use any of the constructions we developed in class.

These include:

Given a line l and a point P not on l, construct the line through P parallel to l Construct the perpendicular bisector of a given line segment

Given a point P and a line l, construct the line through P that is perpendicular to l Construct the bisector of a given angle

Given an angle and a ray, construct a copy of the angle so that one of its sides is the given ray

This is all that was given.