What is the Pythagorean Theorem?

The Pythagorean Theorem is a fundamental principle in geometry that describes the relationship between the three sides of a right triangle. Named after the ancient Greek mathematician Pythagoras, this theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of squares of the lengths of the other two sides.

Mathematically, it is expressed as: a² + b² = c², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

How to Use the Pythagorean Theorem Calculator?

1. Inputting Values

To use the calculator, you need to know the lengths of at least two sides of the right triangle.

Enter the known values into the appropriate input fields. Use numerical values only.

Leave the field for the unknown side empty.

2. Calculating

After entering two side lengths, click the "Calculate" button. The calculator will determine the length of the missing side and display the result.

Below the result, you'll find an explanation of how the calculation was performed. This includes the formula used and the step-by-step process of the calculation.

By following these steps, users can easily and accurately calculate the lengths of sides in a right triangle using the Pythagorean Theorem.

This tool is invaluable for students studying geometry, professionals in fields like engineering and architecture, or anyone needing to perform calculations involving right triangles.