A set of three positive integers a, b and c, where a = b + c
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime. A right triangle whose sides form a Pythagorean triple is called a Pythagorean triangle. The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a² + b² = c²; thus, Pythagorean triples describe the three integer side lengths of a right triangle. However, right triangles with non-integer sides do not form Pythagorean triples. For instance, the triangle with sides a = b = 1 and c = √2 is right, but is not a Pythagorean triple because √2 is not an integer. Moreover, 1 and √2 do not have an integer common multiple because √2 is irrational.
The numerical value of Pythagorean triple in Chaldean Numerology is: 2
The numerical value of Pythagorean triple in Pythagorean Numerology is: 3
Images & Illustrations of Pythagorean triple
Find a translation for the Pythagorean triple definition in other languages:
Select another language:
Discuss these Pythagorean triple definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"Pythagorean triple." Definitions.net. STANDS4 LLC, 2018. Web. 21 Jan. 2018. <http://www.definitions.net/definition/Pythagorean triple>.