Calculator

Triangle Calculator

Find a triangle's area from all three sides.

Your inputs

Area

6

Heron's formula uses all three sides.

Formula

Heron's formula uses the semi-perimeter s:

Area = √(s(s − a)(s − b)(s − c))

The perimeter page adds the sides instead of finding the area.

Assumptions

  • The three lengths form a triangle.
  • The area is the flat interior.

Worked example

Sides 3, 4, and 5 have area 6.

Input definitions

Sides
The three edge lengths. No angle is required.

Limitations

Results are rounded for display. This is a classroom calculation, not a measurement from a lab or a financial filing.

Questions

Do I need the height?

No. Three sides are enough for this formula.

Why is a 3-4-5 triangle special?

It is a right triangle, and its area is 6.

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