Pythagorean Theorem Calculator
MathCalculate the hypotenuse or any side of a right triangle using the Pythagorean theorem (a² + b² = c²).
Hypotenuse (c)
The longest side of the triangle
Triangle Area
6.0000
Area of the right triangle
Perimeter
12.0000
Total length of all three sides
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Frequently Asked Questions
What is the Pythagorean theorem?
In a right triangle, the square of the hypotenuse (c) equals the sum of squares of the other two sides (a and b): a² + b² = c². This theorem is one of the most fundamental in mathematics.
How do I find a missing leg?
If you know the hypotenuse (c) and one leg (a), the other leg is: b = √(c² − a²). For example, if c=5 and a=3: b = √(25-9) = √16 = 4.
What is a Pythagorean triple?
A Pythagorean triple is a set of three whole numbers that satisfy a²+b²=c². Common triples include 3-4-5, 5-12-13, 8-15-17, and 7-24-25. These appear frequently in construction and navigation.
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