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Pythagorean Theorem Calculator

Finds the hypotenuse of a right triangle from its two legs using a² + b² = c².

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Result

Hypotenuse (c)

5

Working

√(3² + 4²) = √(9 + 16) = 5

Notes

  • · a² + b² = c², so c = √(a² + b²).

Pythagorean Theorem Calculator — How It Works

Pythagorean Theorem Calculator — How It Works

The Pythagorean theorem relates the three sides of a right triangle: the square of the hypotenuse equals the sum of the squares of the other two sides.

The formula

a² + b² = c²       ⟹       c = √(a² + b²)

Example

For legs 3 and 4:

c = √(3² + 4²) = √(9 + 16) = √25 = 5

(This is the classic “3-4-5 right triangle”.)

Where this is used

  • Finding the diagonal of a rectangle or screen.
  • Calculating distances when you know horizontal and vertical components.
  • Construction and navigation — anywhere right angles are involved.

Try the Pythagorean Theorem Calculator — instant results, no sign-up.

FAQ

Is this free?

Yes — the Pythagorean Theorem Calculator runs entirely in your browser, no sign-up required.

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