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Pythagorean Triples

These are simply sets of whole numbers which fit the rule:

a2 + b2 = c2

(this is the equation for the Pythagorean Theorem)

Examples of these are:

pythagorean triple pythagorean triple
3,4,5 Triangle 5,12,13 triangle 9,40,41 Triangle
32 + 42 = 52 52 + 122 = 132 92 + 402 = 412

There are an infinite number of triangles like these!

The simplest way to create further pythagorean triples is to simply scale up a set of triples.

Example: scale 3,4,5 by 2 gives 6,8,10 which also fits the formula a2 + b2 = c2

If you want to know more about them read Pythagorean Triples - Advanced