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Q.

Among the following, not a Pythagorean triplet is

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a

3, 4, 5

b

6, 8, 10

c

8, 15, 17

d

10, 24, 25

answer is D.

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Detailed Solution

Pythagorean triplet : If m,n and p are three natural numbers and m2+n2=p2  then (m,n,p) is called Pythagorean triplet .

Option ( A ) :  3, 4, 5

32+42=52

9+16=25

25=25 it is a Pythagorean triplet

Option ( B ) : 6, 8, 10

62+82=102

36+64=100

100=100 it is a Pythagorean triplet

Option ( C ) : 8, 15, 17 

82+152=172

64+225=289

289=289 it is a Pythagorean triplet

Option ( D ) : 10, 24, 25

102+242=252

100+576=625

676=625  it is not possible.

676625 it is not a Pythagorean triplet 

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