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GEOMETRY / THREE SIDES

Triangle Calculator

Calculate triangle area with Heron’s formula plus perimeter and semiperimeter from three valid side lengths.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

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Calculation path

Triangle inequality is validated before Heron’s formula uses the semiperimeter to calculate area.

Calculation path

s = (a + b + c) / 2; area = sqrt(s(s-a)(s-b)(s-c)).

What you provide

What you provide

  • Side a: First triangle side length.
  • Side b: Second triangle side length.
  • Side c: Third triangle side length.

What you receive

What you receive

  • Triangle area
  • Perimeter and semiperimeter
  • Longest side

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The three lengths must form a non-degenerate triangle and use the same unit; this tool does not infer angles.

Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.