Math, asked by Hannan4255, 8 months ago

Out of the given triplets , Which is not a Pythagorean triplet ? [ a) ( 104 , 96 , 40 ) b) ( 52 , 20 , 48 ) c) ( 32 ,15 , 30 ) d) ( 61 , 60 ,11 )

Answers

Answered by Devkumarr
3

Answer:

( 32 ,15 , 30 ) is not a Pythagorean triplet. ( Option C)

Step-by-step explanation:

In the context to the given question ;

we have to find the triplet which does not satisfy the Pythagoras rule;

A Pythagoras triplet satisfy the Pythagoras rule;

which is     a² = b² + c²

Given triplet points :

a) ( 104 , 96 , 40 )

Pythagoras rule = a² = b² + c²

by putting the value we get;

(104)² = (96)² + ( 40)²

10816 = 9216 + 1600

10816 = 10816

∴ ( 104 , 96 , 40 ) is a Pythagorean triplet

b) ( 52 , 20 , 48 )

Pythagoras rule = a² = b² + c²

by putting the value we get;

(52)² = (20)² + ( 48)²

2704 = 400 + 2304

2704 = 2704

∴ ( 52 , 20 , 48 ) is a Pythagorean triplet

c) ( 32 ,15 , 30 )

Pythagoras rule = a² = b² + c²

by putting the value we get;

(32)² = (15)² + (30)²

1024 = 225 +900

1024 ≠ 1125

∴  ( 32 ,15 , 30 ) is not a Pythagorean triplet

d) ( 61 , 60 ,11 )

Pythagoras rule = a² = b² + c²

by putting the value we get;

(61)² = (60)² + (11)²

3721 = 3600 + 121

3721 = 3721

∴( 61 , 60 ,11 ) is a Pythagorean triplet

Therefore, Option C is the correct answer

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