Question

If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?

Describe the steps, be very specific.
A
•B
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Answer 1

Explanation:

To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.

1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.

2). Join the point of intersection of these arcs to A and B with the help of a straightedge.

3). Hence an equilateral triangle (with all equal sides) is constructed.