Question

1. Find the Pythagorean triplets from among the following sets of numbers.

(i) 3, 4, 5
(ii) 2, 4, 5
(iii) 4, 5, 6
(iv) 2, 6, 7
(v) 9, 40, 41
(vi) 4, 7, 8​

Answer 1

Answer:

1st one

Step-by-step explanation:

3²+4²=5²

9+16=25

Answer 2

Answer :

(i) 3, 4, 5 = 25

(ii) 2, 4, 5 ≠ 25

(iii) 4, 5, 6 ≠ 36

(iv) 2, 6, 7 ≠ 49

(v) 9, 40, 41 = 1681

(vi) 4, 7, 8 ≠ 65

Step-by-step explanation :

(i) 3, 4, 5 = 3² + 4² = 5²

Sol:- 3² + 4² = 5²

9 + 16 = 25

•°• 25 = 25

(ii) 2, 4, 5 = 2² + 4² ≠ 5²

Sol:- 2² + 4² ≠ 5²

4 + 16 ≠ 25

•°• 20 ≠ 25

(iii) 4, 5, 6 = 4² + 5² ≠ 6²

Sol:- 4² + 5² ≠ 6²

16 + 25 ≠ 36

•°• 41 ≠ 36

(iv) 2, 6, 7 = 2² + 6² ≠ 7²

Sol:- 2² + 6² ≠ 7²

4 + 36 ≠ 49

•°• 40 ≠ 49

(v) 9, 40, 41 = 9² + 40² = 41²

Sol:- 9² + 40² = 41²

81 + 1600 = 1681

•°• 1681 = 1681

(vi) 4, 7, 8 = 4² + 7² ≠ 8²

Sol:- 4² + 7² ≠ 8²

16 + 49 ≠ 64

•°• 65 ≠ 64