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Triangle Area Calculator (Heron)

Find area and perimeter of a triangle from three sides.

Inputs

Results

Perimeter24
Semi-perimeter12
Area26.83282

Chart

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How to use the triangle area calculator

Find area and perimeter of a triangle from three sides. Enter side a, side b, side c in the fields above; the perimeter, semi-perimeter, area are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Perimeter = a+b+c
Semi-perimeter = [Perimeter] / 2
Area = √([Semi-perimeter] × ([Semi-perimeter]-a) × ([Semi-perimeter]-b) × ([Semi-perimeter]-c))

Variables

  • a — Side a
  • b — Side b
  • c — Side c

Worked example

With side a = 7, side b = 8, side c = 9, the calculator gives perimeter ≈ 24; semi-perimeter ≈ 12; area ≈ 26.83282.

Frequently asked questions

What is the formula for the triangle area calculation?

Perimeter = a+b+c. Semi-perimeter = [Perimeter] / 2. Area = √([Semi-perimeter] × ([Semi-perimeter]-a) × ([Semi-perimeter]-b) × ([Semi-perimeter]-c)). Here a is side a, b is side b, c is side c.

What inputs do I need for the triangle area calculator (heron) calculator?

You need side a, side b, side c. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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