How to find the area of an equilateral triangle given one side?

The area of an equilateral triangle is equal to one-half of the sum of the base and height. A common misconception is that you can use the Pythagorean Theorem for this problem. Unfortunately, that method will not work. Instead, use the following method.

Base mean of an equilateral triangle with one side?

An equilateral triangle with one side has a base area of 1/2 base per side. This is called the base mean of an equilateral triangle. If you have an equilateral triangle with base length of 6, the base area will be 6/2 or 3.

Equilateral triangle area calculator with one side?

The area of an equilateral triangle is 1/2 base times height. What's the easiest way to find the area of an equilateral triangle given one side? You can use a calculator, or if you're more comfortable with a hands-on approach, you can use a few simple triangles and some trigonometry.

How to find the area of an equilateral triangle given a side?

To find the area of an equilateral triangle with sides of length a given as a variable, you divide the sum of the length of each adjacent triangle into the length of the base. The area of the adjacent triangles is equal to the base multiplied by the sine of each triangle's opposite angle. That gives you the area of an equilateral triangle with sides of length a as follows:

How to find the area of an equilateral triangle given one base?

An equilateral triangle has three sides that are equal in length. This means that the sum of the sides is the base multiplied by three. Because the area of a triangle is given by the length of one of the sides multiplied by its sine (or cosine), the area of an equilateral triangle given one base can be found by multiplying the base by the sine of the angle opposite that base.