(i)(3, 5, 4)

3^{2} = 9

4^{2} = 16

5^{2} = 25

Here 9+16 = 25

5^{2} = 3^{2}+4^{2}

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

(3, 5, 4) is a Pythagorean triplet.

(ii)(4, 9, 12)

4^{2} = 16

9^{2} = 81

12^{2} = 144

Here 4^{2}+9^{2} ≠ 12^{2}

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

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

(iii)(5, 12, 13)

5^{2} = 25

12^{2} = 144

13^{2} = 169

Here 5^{2}+ 12^{2} = 13^{2}

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

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

(iv) (24, 70, 74)

24^{2 }= 576

70^{2} = 4900

74^{2} = 5476

Here 24^{2}+ 70^{2} = 74^{2}

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

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

(v)(10, 24, 27)

10^{2} = 100

24^{2} = 576

27^{2} = 729

Here 10^{2}+24^{2} ≠ 27^{2}

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

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

(vi)(11, 60, 61)

11^{2} = 121

60^{2} = 3600

61^{2 }= 3721

Here 11^{2}+60^{2} = 61^{2}

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

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