Learn How to Calculate the Area and Perimeter of an Equilateral Triangle

What Is an Equilateral Triangle?

An equilateral triangle is a type of triangle with three sides of equal length. It is also known as an equiangular triangle, since the three internal angles of the triangle are all equal to 60°. It is a special type of triangle, and has a variety of uses in mathematics and geometry.

How to Calculate the Area of an Equilateral Triangle

The area of an equilateral triangle is the measure of the region enclosed by the triangle. To calculate the area of an equilateral triangle, you need to know the length of one of the sides. The formula for the area of an equilateral triangle is:

Area = (√3 / 4) * (side)2

How to Calculate the Perimeter of an Equilateral Triangle

The perimeter of an equilateral triangle is the total length of all the sides of the triangle. To calculate the perimeter of an equilateral triangle, you need to know the length of one of the sides. The formula for the perimeter of an equilateral triangle is:

Perimeter = 3 * (side)

Example: Calculating the Area and Perimeter of an Equilateral Triangle

Let's say you have an equilateral triangle with a side length of 5. To calculate the area and perimeter, you would use the following formulas:

Area = (√3 / 4) * (side)2 = (√3 / 4) * (5)2 = 10.825

Perimeter = 3 * (side) = 3 * 5 = 15

Conclusion

Calculating the area and perimeter of an equilateral triangle is a simple task once you know the formulas. Knowing the length of one side is all you need to calculate the area and perimeter of the triangle.