|
 |
|
One- and Two-digit Pythagorean Triples
(Special thanks to Zack Kitzmiller)
Sets of numbers where a2 + b2 = c2
Common triples (listed as a, b, c):
3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17
9, 40, 41
Not so common triples (again listed as a, b, c):
11, 60, 61
12, 35, 37
13, 84, 85
16, 63, 65
20, 21, 29
28, 45, 53
33, 56, 65
36, 77, 85
39, 80, 89
48, 55, 73
65, 72, 97
In general, these can be generated by finding numbers m and n where
a = m2 - n2
b = 2mn
c = m2 + n2
m and n should be relative primes and m > n
Any "scaled" multiple of a primative Pythagorean triple will also be a Pythagorean triple. For example, since 3, 4, 5 is a Pythagorean triple, so is
6, 8, 10 (ie., 3x2, 4x2, 5x2)
9, 12, 15 (ie., 3x3, 4x3, 5x3) and so on.
| |
|
|
|
|
|
|
RVC Home Page