Question

which of the following triplet are by the Pythagorean triplet? ​

Answer 1

Step-by-step explanation:

We know that ,

Pythagorean triplets are ;-

2m , m² - 1 , m² + 1

Case 1

Let 2m = 6

then, m = 6/2 = 3

Pythagorean triplets

→ 2m , m² - 1 , m² + 1

→ 2(3) , (3)² - 1 , (3)² + 1

→ 6 , 9 - 1 , 9 + 1

→ 6 , 8 , 10

So, option (a) are not the Pythagorean triplets

Case 2

Let , 2m = 8

then , m = 8/2 = 4

Pythagorean triplets

→ 2m , m² - 1 , m² + 1

→ 2(4) , (4)² - 1 , (4)² + 1

→ 8 , 16 - 1 , 16 + 1

→ 8 , 15 , 17

So , option (b) is the answer

Answer 2

Answer:

We know that ,

Pythagorean triplets are ;-

2m , m² - 1 , m² + 1

Case 1

Let 2m = 6

then, m = 6/2 = 3

Pythagorean triplets

→ 2m , m² - 1 , m² + 1

→ 2(3) , (3)² - 1 , (3)² + 1

→ 6 , 9 - 1 , 9 + 1

→ 6 , 8 , 10

So, option (a) are not the Pythagorean triplets

Case 2

Let , 2m = 8

then , m = 8/2 = 4

Pythagorean triplets

→ 2m , m² - 1 , m² + 1

→ 2(4) , (4)² - 1 , (4)² + 1

→ 8 , 16 - 1 , 16 + 1

→ 8 , 15 , 17

So , option (b) is the answer