Pythagorean Theorem Calculator

Pythagorean Theorem

MATH
Find the missing side of a right triangle using a² + b² = c².
About this calculator

What is the Pythagorean Theorem Calculator?

Pythagorean Theorem Calculator find the missing side of a right triangle using a² + b² = c². It is part of Home of Calculators's Math Calculators suite for mathematical calculations, equations, formulas. The calculator is designed for students, engineers, scientists, but anyone can use it. No signup, no ads, no tracking. Just accurate math, computed locally in your browser using a BigNumber-precision math engine.

Formula Reference
The Formula
c² = a² + b²

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. This fundamental relationship is used throughout geometry, trigonometry, and physics.

Variables
aFirst leg (units)
bSecond leg (units)
cHypotenuse (units)
Worked Example
a = 3b = 4
Result: c = 5

How to use the Pythagorean Theorem Calculator

  1. 1

    Identify the known sides

    Determine which two sides of the right triangle are known.

  2. 2

    Square the known sides

    Square each of the two known side lengths.

  3. 3

    Add or subtract

    If finding the hypotenuse, add the squares. If finding a leg, subtract the known leg's square from the hypotenuse's square.

  4. 4

    Take the square root

    Take the square root of the result to find the missing side.

Quick tips

  • All calculations run locally in your browser; your data never leaves your device.
  • For best results on mobile, rotate to landscape when entering many values.
  • Bookmark this page to come back to your calculation anytime.
  • Need a different calculator? Try our visual builder to create your own.

Why Home of Calculators

  • 100% private (calculations run in your browser)
  • 128-bit BigNumber precision (no rounding errors)
  • Works on any device: phone, tablet, desktop
  • Free forever (no signup, no ads, no upsells)

Frequently asked questions

Is the Pythagorean accurate?

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Yes. Home of Calculators uses a BigNumber-precision math engine (64-128 decimal digits) to ensure calculations are accurate. We run 96+ automated tests covering unit conversion, financial formulas, health formulas, and more. For critical decisions (financial, medical, legal), we still recommend consulting a qualified professional.

Is the Pythagorean Theorem Calculator free?

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Yes. Every calculator on Home of Calculators is 100% free, with no signup, no ads, and no hidden fees. The entire platform is free forever.

Do you store the values I enter?

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No. All calculations happen in your browser. We never see, store, or transmit your inputs to any server. Your data stays on your device.

Can I use the Pythagorean on my phone?

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Yes. Home of Calculators is fully responsive and works on any device (phone, tablet, laptop, or desktop). The interface adapts to your screen size.

Can I embed this calculator on my own website?

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Yes. Click the "Share" button to get an iframe embed code. The embedded calculator will look like any other Home of Calculators widget. You can also build a fully customized version using our visual builder.

Can I build my own custom calculator?

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Absolutely. Home of Calculators's visual builder lets you add fields, write formulas, choose a theme, and brand the result with your own logo, all without writing code.