6 – Constructing an Equilateral Triangle You missed school on Monday due to a toothache. Upon returning on Wednesday, your best friend from Geometry class shared instructions on how to construct an equilateral triangle.

To construct an equilateral triangle, you can follow these steps:

1. Draw a Base Line:

• Start by drawing a line segment to serve as the base of your equilateral triangle. Let's call the endpoints of this line segment A and B.

2. Use a Compass:

• Place the compass point on point A and open it to a length longer than half of the base line (AB). Draw an arc that intersects the line above and below points A and B. Let's call these points C and D, respectively.

3. Connect Points:

• Use a straightedge or ruler to draw lines connecting point C to point B and point D to point B. Now, you have an equilateral triangle ABC.

In an equilateral triangle, all three sides are of equal length, and all three angles are equal, measuring 60 degrees each. This construction method ensures that the triangle is equilateral by using the compass to create equal distances from the endpoints of the base line.