Pythagorean Theorem Calculator

Hypotenuse:

Pythagorean Theorem Calculator

What is the Pythagorean Theorem?

The Pythagorean Theorem is a fundamental principle in geometry that describes the relationship between the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with its discovery.

Formula:

The Pythagorean Theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The formula is:

c2 = a2 + b2

where c is the hypotenuse, and a and b are the other two sides.

Example:

Consider a right triangle with legs of 3 cm and 4 cm. Using the Pythagorean Theorem, you can find the hypotenuse:

c2 = 32 + 42 = 9 + 16 = 25

c = √25 = 5 cm

How to Use Our Pythagorean Theorem Calculator:

  1. Input the Values: Enter the lengths of two sides of a right triangle.
  2. Calculate: Click the calculate button to get the length of the hypotenuse.
  3. Results: The calculator will provide the exact length and also show the calculation steps if you want to understand the process.

Whether you're a student, a teacher, or simply curious about geometry, this Pythagorean Theorem Calculator is designed to provide you with quick and accurate results. It's an invaluable tool for understanding one of the foundational principles in mathematics.