Pythagorean Theorem Calculator is a free online tool that displays the value of the unknown variable when the other two sides of the right-angle-triangle are given. BYJU’S online Pythagorean theorem calculator tool makes the calculations faster where it displays the value of the unknown side in a fraction of seconds.

## How to Use the Pythagorean Theorem Calculator?

The procedure to use the Pythagorean Theorem calculator is as follows:

**Step 1:** Enter the values of two sides in the input fields and enter “x” for the unknown side value

**Step 2:** Click the button “Solve” to get the unknown side measure

**Step 3:** The value of the variable “x” will be displayed in the output “x” field

### What is Pythagorean Theorem?

The Pythagorean Theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides”. It defines the three sides of the right triangle, such as the perpendicular side, adjacent side (base), and the hypotenuse side. This theorem is mainly used to determine the length of the legs and the hypotenuse side.

**Read more on** Pythagoras Theorem

### Standard Formula

The standard formula to represent the Pythagorean Theorem is:

**Perpendicular ^{2} + Base^{2} = Hypotenuse^{2}**

**(or)**

**a ^{2} + b^{2} = c^{2}**

## Frequently Asked Questions on Pythagorean Theorem Calculator

### Define Pythagorean theorem.

The Pythagoras (or Pythagorean) theorem states that the square of the hypotenuse side of a right triangle is equal the sum of the squares of the other two sides of a right triangle

### What are the applications of the Pythagorean theorem?

Pythagoras (or Pythagorean) Theorem is used for

- Finding the diagonal of a square
- Checking whether a triangle is a right-angled triangle or not
- Determining the unknown side of the right-angle triangle if the other two sides are given

### What is Pythagorean Triple?

Pythagorean triples is a set of positive integers, such as a, b and c, that fits the rule:

a^2 + b^2 = c^2 …..(1)

For example, if a, b, and c are 3, 4, and 5 respectively, then by substituting these values in (1), we get:

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

Then, the given set of positive integers are called a Pythagorean Triple.

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