# Pythagorean Triples Formula

When the given sides of a triangle are there in the form of pythagoras theorem, then the same right angled triangle is said to be pythagorean triples. To label a triangle as pythagorean triples they should satisfy the condition of pythagoras theorem. The triples are commonly written as (a,b,c)

Where a and b are the two sides and the longest side , hypotenuse is the written as (c). The smallest known pythagorean triples are (2,3 and 5)

The **Pythagorean Theorem Formula** is,

\[\large c^{2}=a^{2}+b^{2}\]

### Solved Examples

**Question 1: Check if (7, 24, 25) are Pythagorean triples?**

**Solution:**

Given,

Pythagorean triples = (7, 24, 25)

a = 7

b = 24

c = 25

The Pythagorean triples formula is,

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

LHS: c^{2 }= 25^{2} = 625

RHS: a^{2} + b^{2} = 7^{2} + 24^{2} = 49 + 576 = 625

LHS = RHS

So (7, 24, 25) is a Pythagorean triples.

**Pythagorean Triples:**

**Here is the list of the most commonly used Pythagorean triples:**