Equilateral triangles are really interesting and can make solving problems a lot easier! Here’s why they’re great:

1. Equal Sides and Angles: In an equilateral triangle, all three sides are the same length, and each angle is $60^\circ$. This symmetry helps us do calculations more easily. If you know one side, you automatically know the lengths of the other two sides.

2. Height and Area: Finding the height is simple too. You just drop a straight line from one corner to the opposite side. This creates two smaller triangles with angles of $30^\circ$ and $60^\circ$. You can use these angles to quickly figure out the height and area without much trouble.

3. Formulas: To find the area of an equilateral triangle, you can use the formula ( A = \frac{\sqrt{3}}{4} s^2 ). Here, ( s ) stands for the length of a side. This formula makes things easier by skipping extra steps.

4. Circumcircle and Incircle: The distances related to the circles around and inside the triangle are easy to understand when you know the side length ( s ). This makes any problems about circles much simpler.

In short, the equal sides and angles of equilateral triangles make geometry much easier to work with!