Pythagorean Theorem Calculator
Calculate the missing side of a right triangle using a² + b² = c²
📐 Triangle Sides
Side a
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Side b
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Hypotenuse (c)
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🧮 Solve For
Calculate the hypotenuse (c)
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Result
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Missing Side
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hypotenuse (c)
Side a
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Side b
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Hypotenuse (c)
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Triangle Type
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📊 Calculation Breakdown
How the formula works
a² + b² = c²
- a, b = Legs of the right triangle (perpendicular sides)
- c = Hypotenuse (longest side, opposite the right angle)
- Find hypotenuse: c = √(a² + b²)
- Find leg: a = √(c² − b²) or b = √(c² − a²)
- Triangle Inequality: Any two sides must sum to greater than the third
- Pythagorean Triple: Integer sides (3-4-5, 5-12-13, etc.)