100 Calculators
100 Calculators

Pythagorean Theorem Calculator

Welcome to the Pythagorean Theorem Calculator! This tool allows you to quickly and accurately find the length of the missing side of a right triangle. Whether you're a student, engineer, or DIY enthusiast, this calculator is designed to make your life easier.

Simply enter the lengths of two sides of the right triangle, and the calculator will find the length of the missing side for you.

Pythagorean Theorem Calculator
Calculator Inputs [edit and click calculate]
Options for the Calculator Results

Introduction to the Pythagorean Theorem

The Pythagorean Theorem is a fundamental principle in Euclidean geometry, named after the ancient Greek mathematician Pythagoras. This theorem provides a way to calculate the length of one side of a right triangle if the lengths of the other two sides are known.

How to Use the Calculator

  1. Open the Pythagorean Theorem Calculator on the 100 Calculators website.
  2. Enter the lengths of two known sides of the right triangle.
  3. Click the 'Calculate' button.
  4. View the result, which will display the length of the missing side.

Understanding the Formula

The formula for the Pythagorean Theorem is:

c2 = a2 + b2
c = √(a2 + b2)

Where:

  • a: Length of one leg of the right triangle
  • b: Length of the other leg of the right triangle
  • c: Length of the hypotenuse (the side opposite the right angle)

Real-world Applications

The Pythagorean Theorem is not just a mathematical concept; it has practical applications in various fields. Engineers use it in construction to create right angles, while astronomers use it to calculate distances between celestial bodies. Even in day-to-day life, you might find yourself using this theorem without realizing it, like when you're trying to find the shortest path to walk from one point to another.

Understanding the Pythagorean Theorem and knowing how to use this calculator can significantly ease your calculations in both academic and real-world scenarios. So go ahead, give it a try and make your life a bit simpler!