📐 Pythagorean Theorem Calculator
Find the missing side of a right triangle
How the Pythagorean Theorem Works
Formula
a² + b² = c²
- 1Enter the two known sides of the right triangle.
- 2Indicate whether you are solving for a leg or the hypotenuse.
- 3For the hypotenuse: c = √(a² + b²).
- 4For a leg: a = √(c² − b²).
- 5The result is displayed along with the full calculation.
About Pythagorean Theorem Calculator
Calculate the missing side of a right triangle using the Pythagorean theorem. Enter any two sides to find the third, with step-by-step work shown.
Frequently Asked Questions
What is the hypotenuse?
The hypotenuse is the longest side of a right triangle, always opposite the 90-degree angle. It is always longer than either of the two legs.
Does the Pythagorean theorem work for all triangles?
No, it only applies to right triangles (triangles with one 90-degree angle). For other triangles, you would use the Law of Cosines.
What are Pythagorean triples?
Pythagorean triples are sets of three whole numbers that satisfy a² + b² = c². Common examples include 3-4-5, 5-12-13, and 8-15-17.