Pythagorean Theorem Calculator

Please provide any 2 values below to solve the Pythagorean equation: a² + b² = c²

Side a:

Side b:

Hypotenuse c:

Result:

Please enter any 2 values and click Calculate

+ Show Calculation Steps

Pythagorean Theorem

The Pythagorean Theorem, also known as Pythagoras’ theorem, is a fundamental relation between the three sides of a right triangle.

Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:

In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:

a² + b² = c²

This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side.