Question

4. Write Pythagorean triplets whose one of the numbers is given below :
(i) 16
(ii) 24
(iii) 82
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Answer 1

Answer:

ANSWER

2m,m 2+1,m

2ANSWER

2m,m

2

+1,m

2

−1 form a Pythagorean triplet for any number.

(i) 2m=6

⇒m=3

So, Pythagorean triplets are 6,1(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

−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