How does the Heron's Formula Calculator work?

s = (a + b + c) / 2 (semi-perimeter) Then: Area = √(s(s−a)(s−b)(s−c)) Then: Works for any triangle given three sides Then: Triangle inequality must hold: each side < sum of other two.

Can you give an example of how to use the Heron's Formula Calculator?

Example: Input Sides 3, 4, 5 gives a result of s=6, Area = √(6×3×2×1) = 6.

Is the Heron's Formula Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Heron's Formula Calculator?

Our Heron's Formula Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Heron's Formula Calculator

Heron's Formula — Triangle Area

Side a

Side b

Side c

Area = √(s(s−a)(s−b)(s−c)) where s = (a+b+c)/2

Heron's formula calculates the area of a triangle from its three side lengths alone, without needing the height. It was discovered by the ancient Greek mathematician Hero of Alexandria.

Symbol	Name	Unit	Description
a, b, c	triangle side lengths	length	—
s	semi-perimeter	length	—
A	area	length²	—

a	b	c	Area
3	4	5	6
5	5	6	12
6	8	10	24
7	8	9	26.83

References

›Heron's formula — Wolfram MathWorld

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Heron's Formula Calculator

Heron's Formula — Triangle Area

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Triangle Areas by Side Length

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Heron's Formula — Triangle Area