What is Pythagorean Theorem Calculator?
The Pythagorean theorem calculator helps find missing sides in right-angled triangles. By inputting two known side lengths, it instantly calculates the third side using the formula a² + b² = c². Ideal for students, architects, and engineers, it simplifies complex calculations, ensures accuracy, and saves time. This digital tool eliminates manual computation errors and provides quick solutions for academic, construction, and design projects involving right triangles.
Install Calculator
Formula
Pythagorean theorem formula: a² + b² = c²
Where:
- a and b are the legs of the triangle
- c is the hypotenuse (longest side)
How to Use
Enter any two known side lengths in the input fields (leave the unknown field empty). Click "Calculate" to get the missing side value. The calculator automatically determines which side to compute. Ensure you enter positive numerical values only. Use "Clear" to reset all fields. Results display with complete calculation steps and decimal precision for accurate measurements in both academic and professional applications.
Development Process
1. Designed UI with HTML form elements
2. Styled layout using CSS for responsiveness
3. Implemented JavaScript logic for calculations
4. Added input validation and error handling
5. Created clear button functionality
6. Tested with various Pythagorean triples
7. Optimized for cross-browser compatibility
8. Added educational content and FAQs
Common Pythagorean Triples
a | b | c |
---|---|---|
3 | 4 | 5 |
5 | 12 | 13 |
7 | 24 | 25 |
8 | 15 | 17 |
FAQs
What is Pythagorean theorem?
The Pythagorean theorem states that in right-angled triangles, the square of the hypotenuse equals the sum of squares of the other two sides. It's fundamental in geometry for calculating distances and angles.
Can I calculate legs with this calculator?
Yes! Enter any two sides (leave one blank) to compute the third. The calculator automatically detects missing sides whether it's a leg or hypotenuse.
Does it work for non-right triangles?
No, this calculator specifically works for right-angled triangles. For other triangles, use the Law of Cosines instead.
How accurate are the results?
Results are accurate to 10 decimal places. The calculator uses JavaScript's Math.sqrt() function for precise calculations.
Can I use decimal numbers?
Yes, the calculator accepts both integers and decimal values. Ensure positive numbers only for valid triangle sides.
What if I get NaN error?
NaN means "Not a Number" error. Check that you've entered valid numbers in two fields and left one field empty for calculation.
Is this calculator mobile-friendly?
Yes, the responsive design works on all devices. The input fields and buttons adjust automatically for mobile screens.
Can I use keyboard to operate?
Absolutely! Tab between fields, enter numbers via keyboard, and use Enter key to trigger calculations after input.
Why see negative results?
Triangle sides can't be negative. If you see negative values, check input numbers. The calculator automatically converts negatives to positives.
How to calculate 3D distances?
For 3D space (x,y,z), use extended formula: √(x²+y²+z²). This calculator focuses on 2D right triangles only.