Identify Common Pythagorean Triples
A Pythagorean triple is a list of three numbers that works in 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 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 table shows some of the most common Pythagorean triples and some of their multiples.
Triple  Triple x 2  Triple x 3  Triple x 4 

345  6810  91215  121620 
51213  102426  153639  204852 
72425  144850  217275  2896100 
94041  188082  27120123  36160164 
116061  22120122  33180183  44240244 
Here’s how to check out a triple and its multiple by using the Pythagorean theorem. Try out the triple 94041:

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

Then replace a, b, and c with the 94041 triple multiplied by 3 (which is 27120123).