Pythagorean Theorem Calculator
Calculate the missing side of a right triangle using the Pythagorean theorem a² + b² = c². Enter any two sides to find the third, with step-by-step solutions.
Enter exactly two values, leave one empty
How to Use the Pythagorean Theorem Calculator
- Enter the required dimensions (length, width, radius, height, etc.).
- The area, volume, or other geometric value is computed instantly.
- Review the result along with the formula used.
- Adjust dimensions to compare different scenarios.
Quick Reference
| From | To |
|---|---|
| a=3, b=4 | c = 5 |
| a=5, b=12 | c = 13 |
| a=6, b=8 | c = 10 |
| a=7, b=24 | c = 25 |
| a=8, b=15 | c = 17 |
| a=9, b=12 | c = 15 |
Use Cases
- •Calculating dimensions for home improvement or DIY projects.
- •Solving geometry problems for school or professional exams.
- •Estimating material quantities needed for construction work.
- •Planning layouts and designs with precise measurements.
Formula
Formula: a² + b² = c². Where a and b are the legs and c is the hypotenuse (longest side). Enter any two values to find the third.
Frequently Asked Questions
What is the Pythagorean theorem?
In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides: a² + b² = c².
What is a Pythagorean triple?
A set of three positive integers (a, b, c) that satisfy a² + b² = c². For example, (3, 4, 5) and (5, 12, 13).
Which side is the hypotenuse?
The hypotenuse is the longest side of a right triangle, opposite the right angle.
Can I find a leg if I know the hypotenuse and the other leg?
Yes. Rearrange the formula: a = √(c² − b²).