Pythagorean Theorem Calculator

Use the Pythagorean theorem to find the missing side of a right triangle (a² + b² = c²).

Hypotenuse (c)
Triangle Area
Perimeter
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What Is Pythagorean Theorem?

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

Formula

a² + b² = c², so c = √(a² + b²)

Example

A right triangle with sides 3 and 4 has a hypotenuse of √(9 + 16) = √25 = 5.

Frequently Asked Questions

What is the Pythagorean theorem?

In any right triangle, a² + b² = c², where c is the longest side (hypotenuse) opposite the right angle.

Can I find a leg if I know the hypotenuse?

Yes. If c and b are known, a = √(c² − b²).

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