Area of a Triangle Calculator

Calculate the area of a triangle using Heron's formula. Just enter the lengths of the three sides below.

Enter Triangle Sides

Input the lengths of the three sides of the triangle to calculate its area using Heron's formula.

Side A

Side B

Side C

Result

Heron's Formula:

Area of Triangle:

square units

Triangle Visualization

Visual representation of the triangle with given side lengths.

Type:

Understanding Heron's Formula

Heron's formula is a method for calculating the area of a triangle when you know the lengths of all three sides. Unlike other area formulas that require the height or angles, Heron's formula only needs the side lengths.

First, calculate the semi-perimeter (s) of the triangle, which is half the sum of its sides:

Then, use this semi-perimeter in Heron's formula to find the area:

This formula is particularly useful when it's difficult to find the height of a triangle, or when you only have side lengths. It's widely used in geometry, surveying, and engineering.