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
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