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!

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