Question

find whether the following triplets are Pythagorean or not
(a) 5,8,7
(b)8,15,17
pls give answer with explanation​

Answer 1

Answer:

a) no b)yes

Step-by-step explanation:

Answer 2

Given  : ( 5 , 8  , 17)

8,15,17

To Find :  whether the given triplet is  Pythagorean  or not

Solution:

Pythagorean triplet ( a , b , c)

where c  > a , b  is given by  c²  = a² + b²

( a , b and c) are sides of a triangle

( 5 , 8  , 17)

5 + 8  = 13 < 17

Hence these does not even form a triangle hence can not be Pythagorean triplet

Also checking using Pythagorean triplet  condition

( 5 , 8 , 17)

5² + 8² = 25 + 64 = 89  

17² = 289

89 ≠ 289

5² + 8² ≠ 17²

Hence not a Pythagorean triplet

8,15,17

8² + 15² = 64 + 225 = 289

17² = 289

Hence 8² + 15² = 17²

so this form Pythagorean triplet

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