egghead's Guide to Geometry by Peterson's

Author:Peterson's
Language: eng
Format: epub
Publisher: Peterson's
Published: 2013-06-21T04:00:00+00:00

Pythagorean triples

The third type of special right triangle that we'll review is called the Pythagorean triple. Pythagorean triples are right triangles with side lengths that are positive integers.

Examples

There are an infinite number of Pythagorean triples. In this chapter, we’ll look at four of the most common.

3-4-5 triangles

The smallest Pythagorean triple is the 3-4-5 triangle. This is a right triangle whose side lengths measure 3, 4, and 5:

If you use the Pythagorean theorem to check these side lengths, you’ll see they fit perfectly:

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