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Pythagorean Theorem Calculator – Find the Hypotenuse

Calculate the hypotenuse of a right triangle from the two perpendicular side lengths using c = √(a²+b²).

Use the Pythagorean theorem when a and b are the perpendicular sides of a right triangle. The calculator returns the hypotenuse c in the same length unit as the inputs.

How it works

c = √(a² + b²).

Example

For a = 3 and b = 4, c = √(9 + 16) = 5.

How to use

  • Enter side a.
  • Enter perpendicular side b.
  • Calculate the hypotenuse.
  • Use the same unit for both input sides.

Key features

  • Right-triangle hypotenuse calculation
  • Non-negative side validation
  • Unit-agnostic when both inputs match
  • Transparent formula

Common uses

  • Geometry homework
  • Diagonal checks
  • Right-triangle examples

Frequently asked questions

Can I use different units for a and b?

No. Convert both sides to the same unit before calculating.

Does this work for non-right triangles?

No. The Pythagorean theorem applies to right triangles.

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