Math, asked by sai535750, 9 months ago

Write the phythogorean triplet whose one number 15

Answers

Answered by Anonymous
2

Answer:

Heya mate your answer is----------------------------------------------------

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

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