Question

find a pythagorean triplet one of whose member is 12

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Answer 1

QUESTION :-

find a pythagorean triplet one of whose member is 12

ANSWER :-

12, 35, 37

STEP BY STEP SOLUTION :-

For any natural number m > 1, the Pythagorean triplet is 2m, m² - 1, m² + 1

If m² - 1 = 12, then m² = 13 ➙ m is not an integer

If m² + 1 = 12, then m² = 11 ➙ m is not an integer

So, we take 2m = 12 ➙ m = 6

• m² - 1 = 6² - 1 = 36 - 1 = 35

and m² + 1 = 6² + 1 = 36 + 1 = 37

So, the Pythagorean triplet is (12, 35, 37)

Answer 2

Answer:

find a pythagorean triplet one of whose member is 12

12 , 35 , 37