Pythagorean Theorem Calculator

What this calculator estimates

Solve a right triangle’s hypotenuse, area, perimeter and acute angles from two legs. It is designed for fast planning and comparison in the United States. The output is an estimate, not a binding quote, approval, tax determination, insurance offer, legal conclusion, medical recommendation or professional advice.

How to use it

Enter the requested values using a single consistent time period and currency. Select Calculate, review the headline result and supporting figures, then change one assumption at a time to compare another scenario.

How the calculation works

For a right triangle, the hypotenuse is the square root of a squared plus b squared.

Input checklist

The Pythagorean Theorem Calculator uses the values shown in its form. Before calculating, check each input independently so an incorrect unit or time period does not carry through to the final result.

• Right-triangle leg a: verify that this value uses the unit, period, and definition shown by the calculator.
• Right-triangle leg b: verify that this value uses the unit, period, and definition shown by the calculator.

Practical interpretation

Use the Pythagorean Theorem Calculator result as the answer to the specific inputs entered, not as a universal value. The calculation currently described on this page is: For a right triangle, the hypotenuse is the square root of a squared plus b squared. Change one important input at a time when comparing scenarios so you can see which assumption actually drives the difference.

Checks before relying on the result

The result depends on the values and units entered. Recheck the inputs and compare the estimate with the real-world source or rule that applies to your situation. Recalculate when a key value changes, and keep the original inputs with the result if you need to reproduce or compare the calculation later.

Important limitations

The entered sides are assumed to be the perpendicular legs of a right triangle.

Frequently asked questions