Equilateral Triangle Area Calculator

Calculate the area of an equilateral triangle by entering the side length. This calculator shows the formula and step-by-step calculation.

Input Parameters

Calculation Results

Area Result

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Square units

Calculation Formula

Area = (√3/4) × s²

Where:
s = side length of the equilateral triangle

Equilateral Triangle Area Calculator Usage Guide

Learn how to use the Equilateral Triangle Area Calculator and understand the mathematical principles behind it

How to Use This Calculator

  1. Enter the side length of your equilateral triangle in the input field. The side length should be a positive number.
  2. Click the "Calculate" button to compute the area.
  3. The calculator will display the area in square units and show the formula used for the calculation.
  4. If you want to start over, click the "Reset" button to clear all inputs and results.

Understanding the Formula

An equilateral triangle is a triangle where all three sides are of equal length, and all three angles are equal (each measuring 60 degrees).

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

Area = (√3/4) × s²

Where 's' represents the length of any side of the triangle.

Example

If an equilateral triangle has a side length of 5 units:

Area = (√3/4) × 5² = (√3/4) × 25 ≈ 10.825 square units

Applications

This calculator can be useful in various fields including:

  • Architecture and construction
  • Geography and land surveying
  • Art and design
  • Mathematics education