any number multiplied by 3,4,5 and the result arranged in ascending order will be a Pythagorean triplet.
eg- 2
2(3,4,5) = 6,8,10 (arranged in ascending order from the starting).
6,8,10 is a Pythagorean triplet.
45
45(3,4,5) = 135, 180, 225
so 135, 180, 225 is definitely a Pythagorean triplet.
NOTE: this rule is also true for 5,12,13
eg
2(5,12,13) = 10,24,26
also 10,24,26 is a Pythagorean triplet
eg- 2
2(3,4,5) = 6,8,10 (arranged in ascending order from the starting).
6,8,10 is a Pythagorean triplet.
45
45(3,4,5) = 135, 180, 225
so 135, 180, 225 is definitely a Pythagorean triplet.
NOTE: this rule is also true for 5,12,13
eg
2(5,12,13) = 10,24,26
also 10,24,26 is a Pythagorean triplet
any pythagorean triplet multiplied by a common number is a pythagorean triplet
ReplyDeleteno,not for any!!
Deletethis rule works for rational nos. only and for irrational nos. answer is close to a triplet