Question

which of the following
are pythagorean triples ?
i> (9,40,41)
ii> (20,99, 10.)
iii> (13,75,9)
iv>6,17,19​

Answer 1

Answer:

Did you mean: which of the following are pythagorean triples> (9,40,41) ii> (20,99, 10.) iii> (13,75,9) iv>6,17,19

Answer 2

Answer:

(i).   Let's check it:  

9² + 40² = 41²

⇒Calculating this becomes:

81 + 1600 = 1681

∴ So Yes, it is a Pythagorean Triple!

(ii).   Let's check it:  

20² + 99² = 10²

⇒Calculating this becomes:

400 + 9801  = 100 which is not possible.

∴ So No, it is not Pythagorean Triple.

(iii).   Let's check it:  

13² + 75² = 9²

⇒Calculating this becomes:

169 + 75 = 81 which is not possible.

∴ So No, it is not Pythagorean Triple.

(iv).   Let's check it:  

9² + 40² = 41²

⇒Calculating this becomes:

36 + 289  = 361 which is not possible

∴ So No, it is not Pythagorean Triple!

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