Question

Write Pythagorean triplet whose one member is:

a) 20 b) 12

Answer 1

Answer:

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Step-by-step explanation:

B

20,99,101

For any natural numbers m>1,2m, m

2

−1, m

2

+1 forms a Pythagorean triplet.

If we take m

2

+1=20, then m

2

=19

The value of m will not be an integer.

If we take m

2

−1=20, then m

2

=21

Again the value of m will not be an integer.

Let 2m=20

=>m=10

∴2m=2⋅10=20

m

2

−1 = 10

2

−1=99

and

m

2

+1 = 10

2

+1=101

Therefore, the Pythagorean triplets are 20,99,101.

We know that general form of Pythagorean triplet is (2m, m²-1, m²+1)

Here, 2m = 12, m =12/2 = 6.

Hence, the triplet is [ 2 (6), 62-1,62+1]

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