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Heron Formula Calculator

6
square units (area)
Valid triangle \u2713

Find the area of a triangle when you know all three side lengths, with no height required, using Heron formula. First the tool computes the semi perimeter s, which is half the sum of the three sides, then the area equals the square root of s times s minus a times s minus b times s minus c. For sides of 3, 4 and 5 the area is exactly 6 square units. The calculator also checks the triangle inequality, since any side must be shorter than the sum of the other two, and warns you if your three lengths cannot form a real triangle. This side side side approach is perfect for land plots, sails, trusses and any triangle where measuring a height is awkward. Enter the three sides in a common unit and the area returns in that unit squared, computed locally in your browser at full precision.

How to use Heron Formula Calculator

  1. Enter the first side length.
  2. Enter the second and third side lengths.
  3. Read the triangle area from Heron formula.

Frequently asked questions

What does Heron formula compute?

It finds the area of a triangle from its three side lengths alone, without needing an angle or a height.

What is the semi perimeter?

The semi perimeter is half the sum of the three sides, and Heron formula uses it to find the area.

When can three sides not form a triangle?

If one side is longer than the other two combined the sides cannot close, so no real area exists.

What is Heron Formula Calculator?

Find the area of a triangle when you know all three side lengths, with no height required, using Heron formula. First the tool computes the semi perimeter s, which is half the sum of the three sides, then the area equals the square root of s times s minus a times s minus b times s minus c.

Is Heron Formula Calculator free to use?

Yes. Heron Formula Calculator is completely free, with no sign-up and no usage limits.

Does Heron Formula Calculator work in a web browser?

Yes. Heron Formula Calculator runs in any modern web browser. There is nothing to download or install.

Is my data private with Heron Formula Calculator?

Yes. Heron Formula Calculator runs entirely on your device in your browser, so nothing you enter is uploaded to a server.