Equilateral Triangle Area Calculator

An equilateral triangle is a triangle with all three sides of equal length, also known as a regular triangle. Due to its special geometric properties, equilateral triangles are widely used in mathematics, engineering, and design.

Equilateral Triangle Area Formula

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

Area = (√3 / 4) × side²

Where:

• √3 ≈ 1.732
• side is the length of any side of the equilateral triangle

Calculation Steps

1. Measure or determine the side length of the equilateral triangle
2. Substitute the side length value into the formula
3. Calculate the square of the side length
4. Multiply the result by √3 / 4 (approximately 0.433)
5. Obtain the final area value

Application Scenarios

Equilateral triangle area calculation is useful in the following scenarios:

• Triangular structure calculations in architectural design
• Geometric analysis in engineering drawings
• Solving geometric problems in mathematics education
• Pattern calculations in art design
• Area calculations for special plots in land surveying

Example

Suppose an equilateral triangle has a side length of 10 centimeters, its area is calculated as follows:

Area = (√3 / 4) × 10²
Area = 0.433 × 100
Area = 43.3 square centimeters

Using our calculator, you can quickly get accurate results without manually calculating complex square root operations.