Online Test Banks
Score higher
See Online Test Banks
eLearning
Learning anything is easy
Browse Online Courses
Mobile Apps
Learning on the go
Explore Mobile Apps
Dummies Store
Shop for books and more
Start Shopping

Identify Common Pythagorean Triples

A Pythagorean triple is a list of three numbers that fits the Pythagorean theorem — the square of the largest number is equal to the sum of the squares of the two smaller numbers. The multiple of any Pythagorean triple (multiply each of the numbers in the triple by the same positive number) is also a Pythagorean triple. They seem to reinvent themselves.

Familiarizing yourself with the more frequently used Pythagorean triples is very helpful. If you recognize that you have a triple, then working with applications is much easier.

The following table shows some of the most common Pythagorean triples and some of their multiples.

Common Pythagorean Triple                        
Triple Triple x 2 Triple x 3 Triple x 4
3, 4, 5 6, 8, 10 9, 12, 15 12, 16, 20
5, 12, 13 10, 24, 26 15, 36, 39 20, 48, 52
7, 24, 25 14, 48, 50 21, 72, 75 28, 96, 100
9, 40, 41 18, 80, 82 27, 120, 123 36, 160, 164
11, 60, 61 22, 120, 122 33, 180, 183 44, 240, 244

Here’s how to check out a triple by using the Pythagorean theorem. Try out the triple 9, 40, 41:

  1. Replace a, b, and c with 9, 40, and 41, respectively.

    image0.png
  2. Replace a, b, and c with the 9-40-41 triple multiplied by 3 (27, 120, 123).

    image1.png
  • Add a Comment
  • Print
  • Share
blog comments powered by Disqus
Advertisement

Inside Dummies.com

Dummies.com Sweepstakes

Win $500. Easy.