Question

Write the Pythagorean triplet whose one member is 120

Answer 1

Step-by-step explanation:

2m,m2+1,m2−1 form a Pythagorean triplet for any number. 

(i) 2m=6

⇒m=3

So, Pythagorean triplets are  6,10,8

(ii) 2m=14

⇒m=7

So, Pythagorean triplets are 7,48,50

(iii) 2m=16

⇒m=8

So, Pythagorean triplets are 16,63,65

(iv) 2m=18

⇒m=9

So, Pythagorean triplets are  18,80,82

Answer 2

ANSWER :

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.

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