Happy Wednesday math peeps! This post introduces constructions by showing 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. 
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:
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! 🙂
, and expanding them without a second thought. But what happens when our reliable squared binomials are now raised to the third power, such as,
? Luckily for us, there is a 
Example #2:
Practice Questions:
Now let’s look at a slightly different example:
Now let’s see how we can apply trig ratios when there is a 
. This is a simple example, where we know the value of x is equal to 2,(
). But what if it were to get more complicated? That’s where logs come in!
But wait there’s more! Logs have a certain set of 
We can use these rules to help us algebraically solve logarithmic equations, let’s look at an example that applies the Product Rule.
