1.

Check whether the given set of three numbers either a Pythagorean triplets or not?(i) 9,12, 15(ii) 7, 11, 13(iii) 10, 24, 26

Answer»

(i) (9)2 + (12)2 = 81 + 144 = 225 = (15)2
So (9)2 + (12)2= (15)2
or 9, 12, 15 Pythagorean triplets.

(ii) (7)2 + (11)2 = 49 + 121 = 170
∴ (7)2 + (11)2 ≠ (13)2
or 7, 11, 13 Pythagorean triplets.

(iii) (10)2 + (24)2 = 100 + 576 = 676 = (26)2
∴ (10)2 + (24)2 = (26)2
or 10, 24, 26 Pythagorean triplets.


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