Formula Used
c = √(a² + b²)
In a right triangle, the hypotenuse is the side opposite the right angle.
Square both legs. Add the squared values. Take the square root of the sum.
This relation is called the Pythagorean theorem. It applies only to right triangles.
How to Use This Calculator
- Enter the first leg length.
- Enter the second leg length.
- Add a unit label if you want labeled outputs.
- Choose the number of decimal places.
- Keep worked steps checked if you want a full breakdown.
- Press the calculate button.
- Review the result shown above the form.
- Export the result as CSV or PDF if needed.
Example Data Table
| Leg A | Leg B | Hypotenuse | Area | Perimeter |
|---|---|---|---|---|
| 3 | 4 | 5 | 6 | 12 |
| 5 | 12 | 13 | 30 | 30 |
| 8 | 15 | 17 | 60 | 40 |
| 7 | 24 | 25 | 84 | 56 |
| 9 | 40 | 41 | 180 | 90 |
About This Hypotenuse Calculator
This hypotenuse calculator helps you solve right triangle problems quickly. Enter the two leg lengths. The tool finds the hypotenuse instantly. It also shows extra values that support geometry practice and checking.
Why the Hypotenuse Matters
The hypotenuse is the longest side in a right triangle. It sits opposite the right angle. Builders, students, engineers, and survey teams use it often. It appears in distance, slope, framing, layout, and measurement tasks.
What This Page Calculates
The calculator starts with the two known legs. It then computes the hypotenuse using the standard theorem. It also estimates the triangle area, perimeter, and the two acute angles. These extra outputs make the page useful for homework, planning, and validation.
Clear Formula and Steps
The main formula is simple and reliable. Square each leg. Add the squared values. Take the square root of that sum. This method works only for right triangles, so the page keeps the inputs focused and practical.
Helpful for Learning and Work
Many people need more than one answer. They need a quick summary, units, and export options. This page supports that need. You can review the worked steps, inspect a sample table, and save results for later reference.
Designed for Easy Use
The layout stays clean and direct. The form is easy to scan on desktops, tablets, and phones. After submission, the result appears above the form. That flow makes comparison faster when you test several triangles in one session.
Good Input Habits
Use positive numbers only. Keep both legs in the same unit. A mixed unit entry creates a false answer. Choose a precision that matches your task. Lower precision works for quick checks. Higher precision helps when accuracy matters more.
Practical Value
This tool saves time and reduces manual mistakes. It also reinforces the geometric relationship behind the answer. Whether you are studying or checking field measurements, a focused hypotenuse calculator can make right triangle work easier every day.
The included example table shows how common leg pairs behave. That makes pattern spotting easier. You can compare small classroom values with larger real world dimensions. Export buttons help keep records organized, especially when results must be shared, printed, or reviewed later by others.
Frequently Asked Questions
1. What values do I need to enter?
Enter the two known legs of a right triangle. Submit the form. The tool squares both values, adds them, and returns the hypotenuse with optional extra measurements.
2. Do both legs need the same unit?
Yes. The formula requires both legs in the same unit. If one side is in meters and the other is in centimeters, convert first.
3. Can I use this for any triangle?
No. This page is for right triangles only. The theorem used here depends on one angle being exactly ninety degrees.
4. Does the tool show the solving steps?
It shows the main formula, squared values, sum of squares, and final square root step. That helps with checking and learning.
5. Can I export my result?
Yes. Use the CSV button for spreadsheet work. Use the PDF button when you want a simple printable record of the result.
6. Is the unit field required?
The unit field is optional. It simply labels the outputs. It does not convert values automatically between different measurement systems.
7. What kinds of numbers are accepted?
The tool accepts positive numbers, including decimals. Zero, negative values, and non numeric entries are rejected to prevent invalid triangles.
8. Can this page identify the triangle type?
When both legs are equal, the triangle is an isosceles right triangle. Otherwise, it is reported as a scalene right triangle.