Instant Hipotenusa Calculator
Enter the two legs (catetos) of a right triangle. The calculator will instantly compute the hypotenuse (hipotenusa) using the Pythagorean theorem.
What Is the Hipotenusa?
The hipotenusa (hypotenuse) is the longest side of a right triangle. It is always opposite the 90° angle. If you know the lengths of the other two sides—called the catetos—you can calculate the hypotenuse exactly. This is one of the most useful geometry calculations in school math, engineering, architecture, and everyday measurements.
The Formula Behind the Calculator
This calculator uses the classic Pythagorean theorem:
c² = a² + b²
Where:
- a = first leg (cateto)
- b = second leg (cateto)
- c = hypotenuse (hipotenusa)
To get the actual length of the hypotenuse, take the square root:
c = √(a² + b²)
How to Use This Hipotenusa Calculator
- Enter the value for side a.
- Enter the value for side b.
- Optionally add a unit such as cm, m, in, or ft.
- Click Calculate Hipotenusa.
- Read the final answer and the full step-by-step calculation.
Tip: You can type decimal values (like 5.25) for precise results.
Worked Examples
Example 1: 3-4-5 Triangle
If a = 3 and b = 4, then: c = √(3² + 4²) = √(9 + 16) = √25 = 5. So the hipotenusa is 5.
Example 2: Decimal Inputs
If a = 6.5 and b = 2.4, then: c = √(6.5² + 2.4²) = √(42.25 + 5.76) = √48.01 ≈ 6.928.
Common Mistakes to Avoid
- Using negative values (side lengths must be positive).
- Forgetting to square each leg before adding.
- Mixing units (for example, one side in cm and one side in m).
- Rounding too early in multi-step calculations.
Where This Calculation Is Useful
- Construction and framing layouts
- Distance checks on maps and floor plans
- Computer graphics and game development
- Navigation and surveying tasks
- School homework and exam preparation
Quick FAQ
Can I use this for any triangle?
No. This formula works only for right triangles (one angle equals 90°).
Can I enter decimals?
Yes. The calculator supports decimal values and returns a precise answer.
What unit is the result in?
The result is in the same unit as the input sides. If you enter cm and cm, the hipotenusa is in cm.
Final Note
A reliable hipotenusa calculator saves time and reduces arithmetic mistakes. Whether you're studying geometry, planning a project, or validating measurements on-site, this simple tool gives you the right-triangle answer instantly.