Pythagorean Theorem Calculator
Pythagorean Theorem Calculator – Find the Hypotenuse Instantly
The Pythagorean theorem is one of the most important formulas in geometry, helping you calculate the missing side of a right-angled triangle with ease. This free Pythagorean Theorem Calculator allows you to enter the lengths of sides a and b, then instantly calculates side c (the hypotenuse) using the formula:
c = √(a² + b²)
Whether you’re a student, engineer, contractor, or simply solving a math problem online, this tool provides fast and accurate results.
How to Use the Pythagorean Theorem Calculator
Using this tool is simple and user-friendly:
- Enter the value of side a
- Enter the value of side b
- Click “Calculate Side c”
- The calculator will display the exact length of the hypotenuse
A helpful right-triangle diagram is included so you can visually understand which sides correspond to a, b, and c.
What Is the Pythagorean Theorem?
The Pythagorean theorem describes the relationship between the three sides of a right-angled triangle.
It states that:
a² + b² = c²
Where:
- a = one leg of the triangle
- b = the other leg
- c = the hypotenuse (longest side)
The theorem only applies to right-angled triangles, making it extremely useful in geometry, construction, design, navigation, trigonometry, and more.
Why Use an Online Pythagorean Theorem Calculator?
Manually calculating the square root of a² + b² can be time-consuming. This online tool offers:
- ✔ Instant results
- ✔ Accurate calculations
- ✔ Visual triangle diagram for learning
- ✔ Beginner-friendly interface
- ✔ No math skills needed
It’s perfect for homework, classroom lessons, architecture projects, or quick daily calculations.
Example Calculation
If:
- a = 5
- b = 12
Then:
c = √(5² + 12²)
c = √(25 + 144)
c = √169 = 13
The calculator performs this automatically in a fraction of a second.
Frequently Asked Questions
1. What does the Pythagorean theorem calculate?
It calculates the length of the missing side of a right-angled triangle, usually the hypotenuse.
2. Can this calculator find sides a or b instead of c?
This version focuses on calculating the hypotenuse (side c).
If you want, I can build a full triangle calculator that solves for any side.
3. Does the Pythagorean theorem work on any triangle?
No, it only applies to right-angled triangles.
4. Why is c always the longest side?
Because the hypotenuse is the side opposite the 90° angle, making it longer than sides a and b.
5. Can I use decimals?
Yes, the calculator supports whole numbers, decimals, and measurements.
