EVERYDAY MATH • FREE CALCULATOR

Pythagorean Theorem Calculator

Calculate sides and area of a right triangle with the Pythagorean theorem and a worked example.

Hypotenuse
5
Triangle area
6

How it works

For a right triangle, hypotenuse = sqrt(a²+b²).

Worked calculation

A right triangle with legs of 3 and 4 has hypotenuse 5. For the sample inputs, the calculator displays these results:

Hypotenuse5
Triangle area6

Assumptions and limitations

Works only for right triangles, with positive side lengths.

Results update as you change inputs. The values are calculated from the displayed inputs and assumptions, not obtained from an external measurement. Check units, rounding, and any special rules that apply to your situation.

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Frequently asked questions

What is the Pythagorean theorem?

In a right triangle, a² + b² = c², where c is the hypotenuse.

Can I find a missing leg?

Yes, rearrange as a = √(c² − b²).

Does it work for any triangle?

No, only right triangles.

Sources and further reading

Last updated: . Results are estimates for information only and are not financial, medical or professional advice.