Calculator Input
Enter any two valid right triangle values based on your selected solve mode.
Example Data Table
These sample triangles help you test the graph and verify classroom examples.
| Side a | Side b | Hypotenuse c | 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 |
Formula Used
Main theorem: a² + b² = c²
Hypotenuse formula: c = √(a² + b²)
Missing leg formula: a = √(c² - b²) or b = √(c² - a²)
Graph coordinates: A(0,0), B(a,0), and C(0,b)
This layout places the right angle at A. The horizontal leg becomes side a. The vertical leg becomes side b. The hypotenuse is the distance from B to C, which matches the theorem exactly.
How to Use This Calculator
- Select whether you want to solve for the hypotenuse, side a, or side b.
- Enter the known side values using positive numbers only.
- Add a unit label and choose your preferred decimal precision.
- Press Calculate Triangle to view the results, graph, and export options.
Frequently Asked Questions
1) What does this calculator solve?
It finds a missing side of a right triangle. It also shows area, perimeter, acute angles, coordinate points, and a plotted graph.
2) Can it solve for either leg?
Yes. Choose side a or side b in the solve mode. Then enter the hypotenuse and the known leg to calculate the missing leg.
3) Why is the graph useful?
The graph helps you see the triangle visually. It confirms the coordinate placement, side lengths, and the relationship between both legs and the hypotenuse.
4) Can I use decimal values?
Yes. The calculator accepts decimals and rounds outputs using your selected precision setting.
5) What inputs are invalid?
Negative numbers, zero values, or a hypotenuse smaller than a leg are invalid. Those entries cannot create a valid right triangle.
6) Does it verify the theorem?
Yes. The result table compares a² + b² with c² so you can confirm the right triangle relationship numerically.
7) Why can values differ slightly?
Minor differences usually come from rounding. Increase decimal precision when you need more exact results for classwork or technical checking.
8) Can I download the result?
Yes. After calculation, use the CSV button or PDF button to save the output for later use.