Pythagorean Theorem Calculator
Calculate the hypotenuse or missing side of a right triangle using the Pythagorean theorem (a² + b² = c²).
C
5.0000
Surface6.0000
Périmètre12.0000
Formule
## Pythagorean Theorem ### Formula **c = √(a² + b²)** For a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. ### Solving for a Side - **c** = √(a² + b²) - **a** = √(c² - b²) - **b** = √(c² - a²)
Exemple Résolu
A right triangle with sides a=3 and b=4.
- 01c² = 3² + 4² = 9 + 16 = 25
- 02c = √25 = 5
- 03Area = 0.5 × 3 × 4 = 6
- 04Perimeter = 3 + 4 + 5 = 12
Questions Fréquentes
What is the Pythagorean theorem?
The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse (the longest side, opposite the right angle).
What are Pythagorean triples?
Pythagorean triples are sets of three whole numbers that satisfy a² + b² = c². Common examples: (3,4,5), (5,12,13), (8,15,17), (7,24,25).
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