i. Here, 5² = 25 

3² + 4² = 9 + 16 = 25 

∴ 5² = 3² + 4² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ (3, 5, 4) is a Pythagorean triplet.

ii. Here, 12² = 144 

4² + 9² = 16 + 81 =97 

∴ 12² ≠ 4² + 9²

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (4, 9, 12) is not a Pythagorean triplet.

iii. Here, 13² = 169 

5² + 12² = 25 + 144 = 169 

∴ 13² = 5² + 12² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ (5, 12, 13) is a Pythagorean triplet.

iv. Here, 74² = 5476 

24² + 70² = 576 + 4900 = 5476 

∴ 74² = 24² + 70² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ (24, 70, 74) is a Pythagorean triplet.

v. Here, 27² = 729 

10² + 24² = 100 + 576 = 676 

∴ 27² ≠ 10² + 24² 

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (10, 24, 27) is not a Pythagorean triplet.

vi. Here, 61² = 3721 

11² + 60² = 121 + 3600 = 3721 

∴ 61² = 11² + 60² 

The square of the largest number is equal to the sum of the squares of the other two numbers. 

∴ (11, 60, 61) is a Pythagorean triplet.