Final answer:
To construct a line segment with a length of 2√3, use a straightedge and compass to draw intersecting arcs from two points and connect the intersection point to one of the original points.
Step-by-step explanation:
To construct a line segment with a length of 2√3, you can use a straightedge and compass. Here's how:
- Draw a line segment AB of any length on a piece of paper.
- Using a compass, set the width to 2√3 and draw an arc from point A.
- Without changing the width of the compass, draw another arc from point B.
- The intersection of the two arcs will be the endpoint of the line segment with a length of 2√3. Connect this point with point A to complete the line segment.