Question

11. Find whether the following triplets are Pythagorean
or not?
(a) 5, 8, 17
(b) 8, 15, 17
(c) 3,4,5
(d) 6, 8, 10
(e) 9, 40, 41
(f) 39, 80, 89
(g) 11, 60, 61​

Answer 1

Step-by-step explanation:

(a) 5, 8, 17

5² + 8² = 17²

25 + 64 = 289

89 ≠ 289

(5, 8, 17) is not a Pythagorean Triplet

(b) 8, 15, 17

8² + 15² = 17²

64 + 225 = 289

289 = 289

(8, 15, 17) is a Pythagorean Triplet

(c) 3, 4, 5

3² + 4² = 5²

9 + 16 = 25

25 = 25

(3, 4, 5) is a Pythagorean Triplet

(d) 6, 8, 10

6² + 8² = 10²

36 + 64 = 100

100 = 100

(6, 8, 10) is a Pythagorean Triplet

(e) 9, 40, 41

9² + 40² = 41²

81 + 1600 = 1681

1681 = 1681

(9, 40, 41) is a Pythagorean Triplet

(f) 39, 80, 89

39² + 80² = 89²

1521 + 6400 = 7921

7921 = 7921

(39, 80, 89) is a Pythagorean Triplet

(g) 11, 60, 61

11² + 60² = 61²

121 + 3600 = 3721

3721 = 3721

(11, 60, 61) is a Pythagorean Triplet