Question

Find the Pythagorean triplets from among the following sets of numbers: 

i. 3, 4, 5 

ii. 2, 4, 5 

iii. 4, 5, 6

Answer 1

i. 3² = 9, 4² = 16, 5² = 25 

Now, 9 + 16 = 25 

∴ 3² + 42 = 5² 

∴ 3, 4 and 5 is a Pythagorean triplet.

ii. 2² = 4, 4² = 16, 5² = 25 

But, 4 + 16 ≠ 25 

∴ 2² + 4² ≠ 5² 

∴ 2, 4 and 5 is not a Pythagorean triplet. 

iii. 4² = 16, 5² = 25, 6² = 36 

But 16 + 25 ≠ 36 

∴ 4² + 5² ≠ 6² 

∴ 4, 5 and 6 is not a Pythagorean triplet.