Equilateral Triangle Area Calculator

Calculate the area of an equilateral triangle by entering the side length. Choose from various units for your convenience.

Enter Side Length

Side Length:

Unit:

Area

The area of the equilateral triangle is:

Result will appear here...

Formula Used

$$Area = \frac{\sqrt{3}}{4} \times side^2$$

Understanding Equilateral Triangles

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60 degrees. It's a fundamental shape in geometry with various applications in mathematics, engineering, and design.

Area Formula

The area of an equilateral triangle can be calculated using the formula:

$$Area = \frac{\sqrt{3}}{4} \times a^2$$

Where 'a' is the length of a side of the equilateral triangle.

Example

If an equilateral triangle has a side length of 10 cm, its area would be:

$$Area = \frac{\sqrt{3}}{4} \times (10 cm)^2 = \frac{\sqrt{3}}{4} \times 100 cm^2 \approx 43.3 cm^2$$

This calculator simplifies this process, allowing you to quickly find the area for any given side length and unit.