Math & StatisticsFormula-based · Runs in your browser

Pythagorean Theorem Calculator

Provide any two sides of a right triangle to solve the third side, area, perimeter, and squared terms.

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Inputs

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Result

Updates as valid inputs change.

Calculated locally
Missing side
Side a
Side b
Side c
Area
Perimeter

Saved locally, explained clearly

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Calculation steps

Follow what happened from the selected formula to the displayed answer.

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    a²+b²=c²; c=√(a²+b²), a=√(c²−b²), or b=√(c²−a²).

  2. 2

    Values entered

    Your values are placed into the calculation.

    Enter values to see what is used in this step.

  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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Recent calculations

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Data and privacy

How it works

Provide any two sides of a right triangle to solve the third side, area, perimeter, and squared terms. Inputs are calculated locally in the browser, and valid values are retained in the page URL for bookmarking.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

3
  • ?mode= Known sides

    Choice · Required · Default: hypotenuse · Accepted values: hypotenuse, leg, leg-a

  • ?sideA= First known side

    Number · Required · Default: 3

  • ?sideB= Second known side

    Number · Required · Default: 4

Outputs

9
  • missingSide Missing side

    Number · Primary output

  • sideAResult Side a

    Number

  • sideBResult Side b

    Number

  • hypotenuse Side c

    Number

  • aSquared

    Number

  • bSquared

    Number

  • cSquared

    Number

  • area Area

    Number

  • perimeter Perimeter

    Number

Formula notes

a²+b²=c²; c=√(a²+b²), a=√(c²−b²), or b=√(c²−a²).

Input guidance

Use consistent units for every length or measurement in the same calculation. Results are educational mathematical estimates and should be checked before high-stakes use.

Sources
Limitations
  • Results depend on the selected method and input assumptions. Displayed decimals may be rounded; retain appropriate precision for later calculations.