Question

Write a Pythagorean triplet whose one member is 15.?

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Answer 1

Answer:

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.