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Triple | Substitute in a2+b2=c2 | Simplify |
---|---|---|
(3,4,5) | 32+42=?52 | 9+16=25 ✓ |
(5,12,13) | 52+122=?132 | 25+144=169 ✓ |
(8,15,17) | 82+152=?172 | 64+225=289 ✓ |
(7,24,25) | 72+242=?252 | 49+576=625 ✓ |
If (a,b,c) is a Pythagorean triple, then so is (ka,kb,kc) for any natural number k.
(a,b,c) | k | (ka,kb,kc) |
---|---|---|
(3,4,5) | 3 | (3(3),3(4),3(5)) ⇕ (9,12,15) |
(5,12,13) | 2 | (2(5),2(12),2(13)) ⇕ (10,24,26) |