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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)

Pythagorean Triples

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,
c2 = a2 + b2

LHS: c2 = 252 = 625
RHS: a2 + b2 = 72 + 242 = 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: