## Definitions for Pythagorean triple

### Wiktionary(0.00 / 0 votes)Rate this definition:

1. Pythagorean triple(ProperNoun)

A set of three positive integers a, b and c, where a = b + c

### Freebase(4.00 / 5 votes)Rate this definition:

1. Pythagorean triple

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.

### Numerology

1. Chaldean Numerology

The numerical value of Pythagorean triple in Chaldean Numerology is: 2

2. Pythagorean Numerology

The numerical value of Pythagorean triple in Pythagorean Numerology is: 3

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"Pythagorean triple." Definitions.net. STANDS4 LLC, 2018. Web. 19 Apr. 2018. <https://www.definitions.net/definition/Pythagorean triple>.