About Pythagorean Theorem Calculator (a² + b² = c²)
Solve right-angled triangles using the Pythagorean Theorem a² + b² = c². Computes the hypotenuse c given legs a and b, or finds a missing leg given hypotenuse and one leg, displaying exact simplified radicals (e.g. 5√2) and decimal values.
Key Capabilities & Features
- Finds Hypotenuse c = √(a² + b²) or Leg a = √(c² - b²)
- Displays exact simplified radicals (e.g. 2√5) and decimals
- Step-by-step algebraic evaluation
- Input validation ensuring c > b
How to Use Pythagorean Theorem Calculator (a² + b² = c²)
1
Choose Mode
Select "Find Hypotenuse" or "Find Missing Leg".
2
Enter Sides
Input known side lengths.
3
Review Solution
Inspect exact radical form, decimal value, and step-by-step math.
Privacy & In-Browser Execution Guarantee
Theorem calculations execute 100% locally on your device.
Frequently Asked Questions
What is the Pythagorean Theorem?
In any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides: a² + b² = c².
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