About Pythagorean Theorem Calculator
The Pythagorean theorem is a fundamental principle in geometry that relates the three sides of a right triangle. This calculator helps you find the length of any side when you know the other two sides.
The Pythagorean Theorem
In a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides:
a² + b² = c²
- To find hypotenuse: c = √(a² + b²)
- To find leg: a = √(c² - b²) or b = √(c² - a²)
How to Use
- Select whether you want to find the hypotenuse or a leg
- Enter the lengths of the two known sides
- Click Calculate to find the unknown side
- View the step-by-step calculation and visual representation
Example
For a right triangle with legs a = 3 and b = 4:
- c² = a² + b² = 3² + 4² = 9 + 16 = 25
- c = √25 = 5
- This forms the famous 3-4-5 right triangle