Happy Wednesday math peeps! This post introduces constructions by showing us how to construct an equilateral triangle by using a compass and a ruler. For anyone new to constructions, this is the perfect topic for art aficionados since there is more drawing than there is actual math.
What is an Equilateral Triangle?
Equilateral Triangle: A triangle with three equal sides. Not an easy one to forget, the equilateral triangle is super easy to construct given the right tools (compass+ ruler). Take a look below:
Now, for our Example:
Solution:
What’s Happening in this GIF?
1. Using a compass, measure out the distance of line segment 
.
2. With the compass on point A, draw an arc that has the same distance as .
3. With the compass on point B, draw an arc that has the same distance as .
4. Notice where the arcs intersect? Using a ruler, connect points A and B to the new point of intersection. This will create two new equal sides of our triangle!
Still got questions? No problem! Don’t hesitate to comment with any questions. Happy calculating! 🙂
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Looking to learn more about triangles? Check out this post on right triangle trigonometry here!