Pythagorean Theorem Calculator
Find the missing side of a right triangle using the Pythagorean theorem with step-by-step solutions
Last updated: October 27, 2025
Calculator
Pythagorean Theorem
The Formula
a² + b² = c²
where c is the hypotenuse
Solving Variations
c = √(a² + b²)Find hypotenuse
a = √(c² - b²)Find leg a
b = √(c² - a²)Find leg b
Common Pythagorean Triples
(3, 4, 5)
(5, 12, 13)
(8, 15, 17)
(7, 24, 25)
Triangle Diagram
Right triangle with legs a, b and hypotenuse c
Frequently Asked Questions
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) equals the sum of squares of the other two sides. It's written as a² + b² = c², where c is the hypotenuse and a and b are the legs.
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Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.