# Pythagorean Triples Calculator

'**Pythagorean Triples Calculator**' is an online tool that helps to display whether the given inputs are pythagorean triples

## What is the Pythagorean Triples Calculator?

Online Pythagorean Triples** **calculator helps you to calculate the pythagorean triples in a few seconds.

### Pythagorean Triples Calculator

**NOTE:** Enter height, base side, and hypotenuse of the triangle values from 1 to 999 only.

## How to Use the Pythagorean Triples Calculator?

Please follow the below steps to display whether the given inputs are Pythagorean triples:

**Step 1:**Enter the height of the triangle in the given input box.**Step 2:**Enter the base side of the triangle in the given input box.**Step 3:**Enter the hypotenuse of the triangle in the given input box.**Step 4:**Click on the**"Check"**button whether the given inputs are Pythagorean triples.**Step 5:**Click on the**"Reset"**button to check Pythagorean triplets for different values height, base, and hypotenuse values.

## How to Find Pythagorean Triples?

Pythagorean triples are defined as a group of three positive whole numbers that completely satisfies the Pythagorean theorem.

Using Pythagorean theorem, (hypotenuse)^{2} = (base side)^{2} + (height)^{2}

**Solved Examples on Pythagorean Triples Calculator**

**Example 1:**

Given: Height = 3 units, Base Side = 4 units, Hypotenuse = 5 units. Check whether the given inputs values satisfies Pythagorean triplets.

**Solution:**

Using Pythagorean theorem, (hypotenuse)^{2} = (base side)^{2} + (height)^{2}.

(5)^{2} = (4)^{2} + (3)^{2}

25 = 16 + 9

25 = 25

Therefore, the given input values 3,4,5 satisfies Pythagorean triplets.

**Example 2:**

Given: Height = 4 units, Base Side = 5 units, Hypotenuse = 6 units. Check whether the given inputs values satisfies Pythagorean triplets.

**Solution:**

Using Pythagorean theorem, (hypotenuse)^{2} = (base side)^{2} + (height)^{2}.

(6)^{2} = (5)^{2} + (4)^{2}

36 = 25 + 16

36 ≠ 41

Therefore, the given input values 4,5,6 does not satisfies Pythagorean triplets.

**Example 3:**

Given: Height = 6 units, Base Side = 10 units, Hypotenuse = 12 units. Check whether the given inputs values satisfies Pythagorean triplets.

**Solution:**

Using Pythagorean theorem, (hypotenuse)^{2} = (base side)^{2} + (height)^{2}.

(12)^{2} = (10)^{2} + (6)^{2}

144 = 100 + 36

144 ≠ 136

Therefore, the given input values 6,10,12 does not satisfies Pythagorean triplets.

Similarly, you can try the pythagorean triples calculator to check the Pythagorean triplets.

a) 5,12,13 b)10,11,13 c) 9,40,41

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