Heron's Formula Calculator

Calculate the area of a triangle from its three side lengths using Heron's formula.

Formula

Area = √(s(s−a)(s−b)(s−c)); s = (a+b+c)/2
  • Valid when triangle inequality is satisfied: each side < sum of the other two.

Triangle 5-6-7

Inputs
  • Side a: 5
  • Side b: 6
  • Side c: 7

s=9; Area = √(9×4×3×2) = √216 ≈ 14.70

Frequently asked questions

When is Heron's formula used?
When you know all three sides but no angles or height.