Heron's Formula: A Step-by-Step Guide

5/3/2026

6 min read

Heron's formula is a mathematical formula used to calculate the area of a triangle given its side lengths. In this article, we will explain how to use Heron's formula and provide a step-by-step guide on how to calculate the area of a triangle.

Explanation

Heron's formula is based on the concept of the semi-perimeter of a triangle, which is half the perimeter of the triangle. The formula is given by: Area = √(s * (s - a) * (s - b) * (s - c)) where s = (a + b + c) / 2.

Formula
Area = √(s * (s - a) * (s - b) * (s - c))
where s = (a + b + c) / 2
Example

For example, given a triangle with side lengths a = 3, b = 4, and c = 5, we can calculate its area using Heron's formula.

How to use the related calculator

To use the Heron's formula calculator, simply enter the side lengths of the triangle and click the 'Calculate' button. The calculator will then display the area of the triangle.


Try the related calculator
Open tool
FAQ
What is the formula for Heron's formula?

The formula for Heron's formula is: Area = √(s * (s - a) * (s - b) * (s - c)) where s = (a + b + c) / 2


Related articles
Next →
Categories
EmailLinkedInFacebook

© 2026 PromathTools. All rights reserved.

Developed by kruskalcode.com