Find whether the following triplets are

Pythagorean or not?
a)(5,8,17)

b) (8,15,17)

To do :  Find if the given triplets are Pythagorean triplets or not.

Solution:

a) 5 , 8,  17

$5^{2} + 8^{2} = 25 + 64 = 89$

$17^{2} = 289$

Since , $5^{2} + 8^{2}$ ≠ $17^{2}$  as $89 $ ≠ $289$

Therefore, (5, 8, 17) is not a Pythagorean triplet

b) (8, 15, 17)

$8^{2} + 15^{2} = 64 + 225 = 289$

$17^{2} = 289$

Since $8^{2} + 15^{2} = 17^{2}$  

Therefore, (8, 15, 17) is a Pythagorean triplet

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Updated on: 10-Oct-2022

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