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Heron Formula Calculator

You do not need the height of a triangle to find its area. Enter the three side lengths and this calculator applies Heron's formula — finding the semi-perimeter first, then the area — with every step shown so you can follow the working.

How to use

  1. Enter the lengths of all three sides of the triangle.
  2. The calculator first finds the semi-perimeter s = (a + b + c) ÷ 2.
  3. Then it applies Heron's formula — area = √(s(s−a)(s−b)(s−c)) — with the steps shown.

Good to know

  • Heron's formula works for any triangle — no height or angle is needed.
  • The three sides must pass the triangle rule: the sum of any two sides must exceed the third.
  • The semi-perimeter s is simply half of the triangle's perimeter.

Note: The three sides must pass the triangle inequality: the sum of any two sides must be greater than the third. Otherwise no such triangle exists.