Identify, with reason, which of the following are Pythagorean triplets.

(i)(3, 5, 4)
3² = 9
4² = 16
5² = 25
Here 9+16 = 25
5² = 3²+4²
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)
4² = 16
9² = 81
12² = 144
Here 4²+9² ≠ 12²
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)
5² = 25
12² = 144
13² = 169
Here 5²+ 12² = 13²
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)
24² = 576
70² = 4900
74² = 5476
Here 24²+ 70² = 74²
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)
10² = 100
24² = 576
27² = 729
Here 10²+24² ≠ 27²
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)
11² = 121
60² = 3600
61² = 3721
Here 11²+60² = 61²
The square of largest number is equal to sum of squares of the other two numbers.
(11, 60, 61)is a Pythagorean triplet.