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

(i) 3, 4, 5
(ii) 2, 4, 5
(ii

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​

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2 thoughts on “<br />1. Find the Pythagorean triplets from among the following sets of numbers.<br /><br />(i) 3, 4, 5<br />(ii) 2, 4, 5<br />(ii”

  1. 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

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