What is Pythagorean triple?
In [[mathematics]], a '''Pythagorean triple''' is a set of three [[Positive number|positive]] [[integer|integers]] which satisfy the [[equation]] (make the equation work): :<math>a^2 + b^2 = c^2</math> This equation is known as the [[Diophantine equation]], and is related to [[Pythagoras' theorem]]. The lowest '''Pythagorean triple''' is [3, 4, 5] because: :<math>3^2 + 4^2 = 9 + 16 = 25 = 5^2</math> : So, <math>3^2 + 4^2 = 5^2</math> The next highest triple is [5, 12, 13] then [7, 24, 25], and so on. There is an [[infinite]] number of Pythagorean triples. A Pythagorean triple always consists of: • all even numbers, or • two odd numbers and an [[even number]]. A Pythagorean triple can never be made up of all odd numbers or two even numbers and one [[odd number]]. {{math-stub}} [[Category:Number theory]] [[Category:Geometry]]