Question

find a pythagorean triplet whose one member is 15 explain it​

Answer 1

Answer:

8,15,17

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Pythagorean Triplets are 8 , 15 and 17.

Step-by-step explanation:

Given number is 15.

To find: Other Pythagorean triplet.

We know that Pythagorean triplets are in the form of

2m , m² - 1 and m² + 1

First we find value of m by putting it equal to each term

take,

2m = 15 ⇒ m = 7.5 ( m can not be a decimal )

m² - 1 = 15 ⇒ m² = 16 ⇒ m = ±4

m² + 1 = 15 = m² = 14 ( No whole number for m² = 14 )

So, Value of m = +4 , -4 but -4 is not a whole number

⇒ m = 4

Now Pythagorean triplets = 2m , m² - 1 , m² + 1

= 2(4) , 4² - 1 , 4² + 1

= 8 , 16 - 1 , 16 + 1

= 8 , 15 , 17

Therefore, Pythagorean Triplets are 8 , 15 and 17.

Answer 3

Step-by-step explanation:

Pythagorean Triplets are 8 , 15 and 17.

Step-by-step explanation:

Given number is 15.

To find: Other Pythagorean triplet.

We know that Pythagorean triplets are in the form of

2m , m² - 1 and m² + 1

First we find value of m by putting it equal to each term

take,

2m = 15 ⇒ m = 7.5 ( m can not be a decimal )

m² - 1 = 15 ⇒ m² = 16 ⇒ m = ±4

m² + 1 = 15 = m² = 14 ( No whole number for m² = 14 )

So, Value of m = +4 , -4 but -4 is not a whole number

⇒ m = 4

Now Pythagorean triplets = 2m , m² - 1 , m² + 1

= 2(4) , 4² - 1 , 4² + 1

= 8 , 16 - 1 , 16 + 1

= 8 , 15 , 17

Therefore, Pythagorean Triplets are 8 , 15 and 17.