Question

which of Pythagorean triplet
(1) 6,7,8. (2)3,4,5 (3)5, 12,13​

Answer 1

Answer:

i. Here, 52 = 25 32 + 42 = 9 + 16 = 25 ∴ 52 = 32 + 42

The square of the largest number is equal to the sum of the squares of the other two numbers. ∴ (3,5,4) is a Pythagorean triplet. ii. Here, 122 = 144 42 + 92 = 16 + 81 =97 ∴ 12 ≠ 4 + 92

The square of the largest number is not equal to the sum of the squares of the other two numbers. ∴ (4,9,12) is not a Pythagorean triplet. iii. Here, 132 = 169 52 + 122 = 25 + 144 = 169 ∴ 132 = 52 + 122 The square of the largest number is equal to the sum of the squares of the other two numbers. ∴ (5,12,13) is a Pythagorean triplet.