Pythagorean Theorem Formulas
Theorems
Pythagorean Theorem
- Theorem
- a2 + b2 = c2
- Hypotenuse
- c = √(a2 + b2)
- Missing leg
- a = √(c2 − b2)
- a, b legs
- c hypotenuse
Pythagorean Theorem formulas explained
In every right triangle, the square on the hypotenuse equals the sum of the squares on the other two sides. Below are all the pythagorean theorem formula with what each letter means, a worked example and a free calculator.
- Theorem:
a² + b² = c² - Hypotenuse:
c = √(a² + b²) - Missing leg:
a = √(c² − b²)
Pythagorean Theorem calculator
Live calculator
Pythagorean Theorem calculator
Worked example: hypotenuse of a pythagorean theorem
Given Leg a = 3 cm, Leg b = 4 cm, substitute the values into each pythagorean theorem formula:
- c = √(3² + 4²) = 5 cm
- A = ½ × 3 × 4 = 6 cm²
Pythagorean Theorem Formula SheetFormulas, variables, a worked example and practice questions with answers.Download PDFOpen
Pythagorean Theorem formulas FAQ
What is the Pythagorean Theorem formula?
The Pythagorean Theorem is a² + b² = c², where a, b are the legs, c is the hypotenuse.
What is the hypotenuse formula?
The hypotenuse formula is c = √(a² + b²), where a, b are the legs, c is the hypotenuse.
What is the missing leg formula?
The missing leg formula is a = √(c² − b²), where a, b are the legs, c is the hypotenuse.
Can I download the pythagorean theorem formulas as a PDF?
Yes. Use the Download PDF button on this page for a free printable pythagorean theorem formula sheet with a worked example and practice questions.