Enter any two sides and solve confidently. Track angles, area, perimeter, and validation in seconds. Download reports, compare examples, and visualize each triangle neatly.
Use solve mode for a missing side. Use verify mode to test all three sides.
| Mode | a | b | c | Expected result |
|---|---|---|---|---|
| Solve c | 3 | 4 | Blank | c = 5 |
| Solve a | Blank | 12 | 13 | a = 5 |
| Verify | 5 | 12 | 13 | Pass |
| Solve b | 8 | Blank | 17 | b = 15 |
Main theorem: c2 = a2 + b2
Solve for a: a = √(c2 - b2)
Solve for b: b = √(c2 - a2)
Area: Area = (a × b) / 2
Perimeter: Perimeter = a + b + c
Angles: angle A = sin-1(a / c), angle B = 90° - angle A
The Pythagorean theorem is one of the most useful rules in geometry. It links the three sides of a right triangle. Students use it in lessons. Teachers use it in examples. Builders use it during layout work. Designers use it for distance checks. Survey tasks, roof planning, and diagonal measurements often depend on it. A reliable calculator reduces mistakes and speeds up repeated calculations.
This page solves for any missing side variable. You can find the hypotenuse when both legs are known. You can also find one leg when the other leg and the hypotenuse are known. The verify mode checks whether three entered side values satisfy the theorem. This makes the page useful for homework, exam practice, worksheet review, and quick jobsite checks.
The result section gives more than one number. It shows the solved side, squared values, difference check, area, perimeter, altitude to the hypotenuse, and both acute angles. The step list explains the exact process. The graph shows the triangle shape clearly. This gives users a better understanding of the geometry behind the answer, not just a final value.
The calculator supports custom variable labels. This helps when school notes or diagrams use different letters. The unit label can be changed too. Decimal precision is adjustable. That allows rough estimates or detailed output. CSV export is useful for records. PDF export is helpful for reports, class notes, printed references, and shared review files.
A clear example table removes guesswork. You can compare your input with common right triangle cases such as three four five or five twelve thirteen. The formula section keeps the math visible. The instruction section gives short steps. This makes the page friendly for beginners, while still being useful for fast professional checks.
The layout stays clean and easy to scan. The result appears near the top after submission, so you do not need to hunt for the answer. The calculator grid adapts well across desktop, tablet, and mobile screens. Because of that, the page works nicely for classroom use, field use, and quick calculations during daily study. It also keeps export buttons and result details close together for smoother review and faster follow-up.
The hypotenuse is always the longest side in a right triangle. It sits opposite the 90 degree angle. In this calculator, side c is treated as the hypotenuse.
Yes. Choose solve a or solve b. Then enter the other leg and the hypotenuse. The calculator rearranges the theorem and returns the missing leg.
Verify mode checks whether a² + b² equals c². It also shows the difference between both sides of the equation. A pass means the values fit a right triangle.
Yes. You can enter decimal side lengths. The precision box controls how many decimal places appear in the output and supporting calculations.
The hypotenuse is the longest side of a right triangle. If c is not larger, the subtraction formula for a missing leg would produce an invalid or imaginary result.
Yes. The label fields let you rename a, b, and c. This is useful when your worksheet or diagram uses different symbols.
The result includes the solved side, squared checks, acute angles, area, perimeter, altitude to the hypotenuse, triangle type, and a right triangle validation result.
Yes. Use the CSV button for spreadsheet data or the PDF button for a clean report. You can also print the result directly from the page.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.