Pythagorean Theorem Calculator

Calculate the missing side of a right triangle using the Pythagorean Theorem: a² + b² = c²

a (base) b (height) c (hypotenuse)

Result

About the Pythagorean Theorem

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

a² + b² = c²

This theorem is named after the ancient Greek mathematician Pythagoras and is one of the fundamental relationships in Euclidean geometry.

How to use this calculator:

  1. Select which side of the triangle you want to calculate
  2. Enter the values for the other two sides
  3. Click "Calculate" to find the missing side

Formulas used:

  • To find the hypotenuse (c): c = √(a² + b²)
  • To find a leg (a or b): a = √(c² - b²) or b = √(c² - a²)