Calculator Input
Use any supported mode. The calculator keeps the page in a clean single-column flow, while the input area adapts to larger screens.
Example Data Table
| Mode | Input 1 | Input 2 | Input 3 | Hypotenuse |
|---|---|---|---|---|
| Two legs | Leg A = 6 cm | Leg B = 8 cm | Precision = 2 | 10.00 cm |
| Leg and angle | Known leg = 12 m | Angle = 35° | Position = adjacent | 14.65 m |
| Area and one leg | Area = 24 ft² | Known leg = 6 ft | Precision = 3 | 10.000 ft |
Formula Used
The calculator applies right triangle relationships. The main rule is the Pythagorean theorem: c = √(a² + b²), where c is the hypotenuse.
- Two legs mode: c = √(a² + b²)
- Leg and angle mode: c = adjacent / cos(θ) or c = opposite / sin(θ)
- Area and one leg mode: b = 2A / a, then c = √(a² + b²)
Extra outputs such as area, perimeter, altitude to the hypotenuse, and acute angles are derived from the solved triangle dimensions.
How to Use This Calculator
- Select the calculation mode that matches your available values.
- Enter the required side, area, or angle inputs.
- Add a preferred unit label and choose decimal precision.
- Press the calculate button to show the result below the header.
- Review hypotenuse, solved legs, area, perimeter, altitude, and angles.
- Use the CSV or PDF buttons to export the solved result.
FAQs
1. What does this calculator solve?
It solves the hypotenuse of a right triangle from several input combinations. It also derives missing legs, acute angles, area, perimeter, and altitude to the hypotenuse.
2. Can I use an angle in this calculator?
Yes. Choose the leg and angle mode, enter one acute angle, then specify whether your known leg is adjacent or opposite to that angle.
3. Does it work for non-right triangles?
No. This tool is designed only for right triangles. If the triangle does not contain one 90-degree angle, these formulas are not valid.
4. Why is the angle limited to less than 90 degrees?
In a right triangle, the remaining two angles must be acute. Any entered angle must therefore be greater than zero and less than ninety degrees.
5. What unit should I enter?
Enter any label you prefer, such as cm, m, ft, or in. The calculator keeps the same unit across all length results.
6. What is the altitude to the hypotenuse?
It is the perpendicular segment from the right angle to the hypotenuse. This value is useful in triangle geometry, similarity, and area checks.
7. What happens in area and one leg mode?
The tool first computes the missing leg using b = 2A / a. Then it applies the Pythagorean theorem to determine the hypotenuse.
8. Can I export my result?
Yes. After calculation, you can download a CSV summary or generate a PDF snapshot of the result panel for records or sharing.