Question

Find a pythagorean triplet in which one is 12

Answer 1

Answer:

(2n, n²-1, n²+1) is the structure of pythagorean triplet.

so let 2n = 12, then,

n = 6

n² = 6² = 36

n²- 1 = 36 - 1 = 35

n² + 1 = 36 + 1 = 37

so,

Ans: (12, 35, 37)

Answer 2

We have to find the Pythagorean triplet

Solution

Pythagoras triplets are of the form 2m, m² -1 and m² + 1.

It is given that the one number is 12

So, 2m = 12.

m = 6

Now,

second number = m² -1 = 6² – 1 = 36-1=35

third number = m² + 1 = 6² + 1 = 36+1 =37

Hence, the triplet is 12, 35 and 37.

Answer

Therefore, The Pythagorean triplet whose one number is 12 is 12,35,37.

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