Which of the following triplets are Pythagorean?
(a) (8, 15, 17)
(b) (14, 48, 51)

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Solution

(a) (8, 15, 17)
$L H S = 8^{2} + 15^{2}$
$= 289$
$R H S = 17^{2}$
$= 289$
$L H S = R H S$
∴ the given triplet is a Pythagorean.
(b) (14, 48, 51)
$L H S = 14^{2} + 48^{2}$
= 2500
$R H S = 51^{2}$
= 2601
LHS ≠ RHS
∴ the given triplet is not a Pythagorean.

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