Pythagorean Theorem Calculator
Understanding the Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the other two sides. Written as: a² + b² = c², where c is always the longest side.
📐 Finding a Diagonal
A 50" TV has a 16:9 aspect ratio. The diagonal (hypotenuse) is measured across the screen from corner to corner.
🪜 Ladder Problems
A ladder leaning against a wall forms a right triangle. Know any two distances to find the third.
🗺️ Distance Calculation
Find the straight-line distance between two points using horizontal and vertical differences.
🏗️ Construction
The 3-4-5 triangle is used to verify right angles when building. Any multiple (6-8-10, 9-12-15) also works.
Pythagorean Triples
These are sets of three positive integers (a, b, c) that satisfy a² + b² = c². They create perfect right triangles with whole number sides.
| a | b | c | Check: a² + b² |
|---|---|---|---|
| 3 | 4 | 5 | 9 + 16 = 25 ✓ |
| 5 | 12 | 13 | 25 + 144 = 169 ✓ |
| 8 | 15 | 17 | 64 + 225 = 289 ✓ |
| 7 | 24 | 25 | 49 + 576 = 625 ✓ |
| 20 | 21 | 29 | 400 + 441 = 841 ✓ |
Privacy & Limitations
- All calculations run entirely in your browser -- nothing is sent to any server.
- Results are computed using standard formulas and should be verified for critical applications.
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Pythagorean Calculator FAQ
What is Pythagorean Calculator?
Pythagorean Calculator is a free geometry tool that helps you Solve right triangles using a² + b² = c².
How do I use Pythagorean Calculator?
Enter your input values, review the calculated output, and adjust inputs until you reach the result you need. The result updates in your browser.
Is Pythagorean Calculator private?
Yes. Calculations run locally in your browser. Inputs are not uploaded to a server by default, and refreshing the page clears session data.
Does Pythagorean Calculator require an account or installation?
No. You can use this tool directly in your browser without sign-up or software installation.
How accurate are results from Pythagorean Calculator?
This tool applies standard formulas or deterministic processing logic for estimates. For medical, legal, tax, or investment decisions, verify with a qualified professional.
Can I save or share outputs from Pythagorean Calculator?
You can bookmark this page and copy outputs manually. Results are not persisted in your account and are typically not embedded in the URL.