Write a Pythagore

(i) As we know that,

For every number m > 1, the Pythagorean triplet is (2m, m² – 1, m² + 1)

Using this result in the question, we get

2m = 6

m = 3

m² = 9

m² – 1 = 9 – 1 = 8

m² + 1 = 9 + 1 = 10

Thus,

The Pythagorean triplet is [6, 8, 10]

(ii) As we know that,

For every number m > 1, the Pythagorean triplet is (2m, m² – 1, m² + 1)

Using this result in the question, we get

2m = 14

m = 7

m² = 49

m² – 1 = 49 – 1 = 48

m² + 1 = 49 + 1 = 50

Thus,

The Pythagorean triplet is [14, 48, 50]

(iii) As we know that,

For every number m > 1, the Pythagorean triplet is (2m, m² – 1, m² + 1)

Using this result in the question, we get

2m = 16

m = 8

m² = 64

m² – 1 = 64 – 1 = 63

m² + 1 = 64 + 1 = 65

Thus,

The Pythagorean triplet is [16, 63, 65]

(iv) As we know that,

For every number m > 1, the Pythagorean triplet is (2m, m² – 1, m² + 1)

Using this result in the question, we get

2m = 20

m = 10

m² = 100

m² – 1 = 100 – 1 = 99

m² + 1 = 100 + 1 = 101

Thus,

The Pythagorean triplet is [20, 99, 101]