Question

4) Out of the following triplets which is not a pythagorean triplet.
a) (3, 4, 5)
b) (60, 61, 11)
c) (6, 8, 10)
d) (7, 9, 11)​

Answer 1

Thus, 13,35,37 is not a Pythagorean triplets.

Let the smallest even number be 2m

(i) (3,4,5)

2m=4

⇒m=2

m

2

−1=4−1=3

m

2

+1=4+1=5

∴(3,4,5) is a Pythagorean triplet.

(ii) (10,24,26)

2m=10

⇒m=5

m

2

−1=25−1=24

m

2

+1=25+1=26

∴(10,24,26) is not a Pythagorean triplet.

(iii) (6,7,8)

2m=6

⇒m=3

m

2

−1=9−1=8

m

2

+1=9+1=10

∴(6,7,8) is not a Pythagorean triplet.

(iv) (2,3,4)

2m=2

⇒m=1

m

2

−1=1−1=0

m

2

+1=1+1=2

∴(2,3,4) is not a Pythagorean triplet.

Answer 2

Step-by-step explanation:

Let the smallest even number be 2m

(i) (3,4,5)

2m=4

⇒m=2

m^2−1=4−1=3

m^2+1=4+1=5

∴(3,4,5) is a Pythagorean triplet.

(ii) (10,24,26)

2m=10

⇒m=5

m^2−1=25−1=24

m^2+1=25+1=26

∴(10,24,26) is not a Pythagorean triplet.

(iii) (6,7,8)

2m=6

⇒m=3

m^2−1=9−1=8

m^2+1=9+1=10

∴(6,7,8) is not a Pythagorean triplet.

(iv) (2,3,4)

2m=2

⇒m=1

m^2−1=1−1=0

m^2+1=1+1=2

∴(2,3,4) is not a Pythagorean triplet.