⚡ Quick Answer
The Pythagorean theorem states: a² + b² = c² for any right triangle, where c is the hypotenuse (longest side). Given any two sides, find the third instantly. Used in construction, navigation, and engineering.
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📐 Pythagorean Theorem Calculator

Solve right triangles using the Pythagorean theorem. Find the hypotenuse or a missing leg from any two known sides instantly.

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Uses the standard Pythagorean theorem. Free for students, builders, and engineers. No sign-up needed.

🤔 How Does This Work?

  • Hypotenuse: c = √(a²+b²)
  • Missing leg: a = √(c²-b²)

❓ Frequently Asked Questions

What is the Pythagorean theorem used for?▼
Used extensively in construction (ensuring right angles), navigation (calculating direct distances), engineering (structural calculations), and everyday problems like finding diagonal TV screen sizes or ladder placement against a wall.
What are Pythagorean triples?▼
Sets of three positive integers that satisfy a²+b²=c² exactly. Common examples: 3-4-5, 5-12-13, 8-15-17, 7-24-25. These are useful for quick mental calculations and verifying right angles without a calculator.
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❓ FAQ
What is the Pythagorean theorem used for?▼
Used extensively in construction (ensuring right angles), navigation (calculating direct distances), engineering (structural calculations), and everyday problems like finding diagonal TV screen sizes or ladder placement against a wall.
What are Pythagorean triples?▼
Sets of three positive integers that satisfy a²+b²=c² exactly. Common examples: 3-4-5, 5-12-13, 8-15-17, 7-24-25. These are useful for quick mental calculations and verifying right angles without a calculator.
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