Heron's formula calculator

Find the area of any triangle from its three side lengths using Heron's formula.

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Tool guide

Heron's formula calculator: how it works

Practical information to understand the result and use this tool correctly.

About Heron's formula calculator

Heron's formula finds area from three side lengths alone using the semi-perimeter s.

It works for any non-degenerate triangle: scalene, isosceles, or equilateral.

The tool also shows s and the perimeter so you can verify the triangle inequality.

How to use it

  1. 1Enter sides a, b, and c in the same unit.
  2. 2Calculate area and semi-perimeter.
  3. 3If the sides cannot form a triangle, fix the lengths.

Frequently asked questions

Need the height?
No — that is the point of Heron's formula.
Triangle inequality?
Each side must be shorter than the sum of the other two.