Question

12) Which are Pythagorean triplets in the following?
(A) 5,6,7 (8) 6,8,10 (c) 4,5,6 (D) 9,10,12​

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.

Answer 2

Answer:

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