Question

Which of the following is a Pythagorean triplet?

A. (2, 3, 5) 

B. (5, 7, 9) 

C. (6, 9, 11) 

D. (8, 15, 17)

Answer 1

We know that, 

According to the Pythagorean triplet, 

For a natural number m, 

(2m, m² – 1, m² + 1) is a Pythagorean triplet. 

Hence, 

Considering the Pythagorean triplet, 

Let m = 4 

2m = 8 

m² – 1 = 15 

m²+ 1 = 17 

Thus, 

(8, 15, 17) is the Pythagorean triplet. 

Hence, 

Option (D) is the correct option.