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MATH

Pythagorean Theorem Calculator

Estimate hypotenuse c from leg a, leg b, hypotenuse c with the Pythagorean Theorem Calculator.

Which side is unknown?Supply two sides of a right triangle to solve the third.
3 options
HYPOTENUSE C5 m

Find hypotenuse c: Uses a² + b² = c² to solve the hypotenuse or either missing leg.

Leg a
3
Leg b
4
Hypotenuse c
5
Check
9 + 16 = 25
Estimate based on the values shown
MethodUses a² + b² = c² to solve the hypotenuse or either missing leg.

Before you use the result

The result depends on the entered values, selected mode, and displayed mathematical assumptions.

CALCULATOR GUIDE

How to use the Pythagorean Theorem Calculator

Estimate hypotenuse c from leg a, leg b, hypotenuse c with the Pythagorean Theorem Calculator. It includes Find hypotenuse c, Find leg a, Find leg b workflows, so choose the one that matches the values you actually know. Use it to check the arithmetic while keeping the displayed method and entered values with your work.

Step by step

  1. For the Pythagorean Theorem, enter leg a, leg b, hypotenuse c. Keep each value in the unit displayed beside its field.
  2. Review the selected Pythagorean Theorem workflow and inputs, then read hypotenuse c in the result panel.
  3. Change one Pythagorean Theorem assumption at a time to compare scenarios. Use Reset to restore this tool's worked example values.

How the calculation works

Uses a² + b² = c² to solve the hypotenuse or either missing leg.

Worked example

In the Pythagorean Theorem worked example, leg a 3, leg b 4, hypotenuse c 5 produces hypotenuse c of 5. Find hypotenuse c: Uses a² + b² = c² to solve the hypotenuse or either missing leg. Review the displayed units before comparing the result.

Understanding the result

The Pythagorean Theorem reports hypotenuse c. Use it to check the arithmetic while keeping the displayed method and entered values with your work. The result depends on the entered values, selected mode, and displayed mathematical assumptions.

How to check the answer

Check the Pythagorean Theorem answer by substituting hypotenuse c back into the stated relationship. Test a simple value such as zero, one, or an equal pair, then confirm that sign, scale, units, and rounding match Uses a² + b² = c² to solve the hypotenuse or either missing leg.

Common questions

What does the Pythagorean Theorem calculate?

Estimate hypotenuse c from leg a, leg b, hypotenuse c with the Pythagorean Theorem Calculator.

Which Pythagorean Theorem inputs have the biggest effect?

hypotenuse c responds directly to leg a, leg b, hypotenuse c. Change one input while holding the others constant to see its effect.

Is the Pythagorean Theorem result exact?

The result depends on the entered values, selected mode, and displayed mathematical assumptions. Recheck leg a, leg b, hypotenuse c and use hypotenuse c only for a decision where that level of precision is appropriate.

Formula tests, limits, sources, and guide registry updated September 1, 2026.
INTERPRET THE RESULTRead the math guideCheck assumptions, limitations and comparison methods →