Question

which of the following triplets are Pythagorean (3, 4,5) ,(6, 7,8), (10, 24,26),(2, 3,4) ​

Answer 1

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.

Hope my answer will help you...