Question

find the pythagorean triplets from among the following sets of number
1)3,4,5
2)2,4,5
3)4,5,6
4)2,6,7

Answer 1

1)they are pythagorean triplets as 3²+4²=5²
2)they are not pythagorean triplets as2² +4²≠5²
 3) they are pythagorean triplets as 4²+5²=6² 
 4)  they are not pythagorean triplets as 2² +6²≠7²
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Answer 2

Hay everybody, here is the answer. This is prohibited for the second general rule because 4 and 2 share a factor of 2.however, does produce the triplet 8,6,10. This can be reduced to 4,3,5, derived from. For example, (6, 8, 10) is a family of the Pythagorean triple (3, 4, 5) because it can be obtained by 2 × 3 = 6, 2 × 4 = 8, 2 × 5 = 10. We can prove this with the help of the first Pythagorean Triple (3, 4, and 5): Let n be any integer ... n, n2, Difference. 1, 1. 2, 4, 4-1 = 3. 3, 9, 9-4 = 5. 4, 16, 16-9 = 7. 5, 25, 25-16 = 9.