Question

the set of pythagorean triplet is (3,4,5) (4,5,6) (7,8,9) ( none)​

Answer 1

Answer:

(3,4,5) is the  set of pythagorean triplet .

Answer 2

$\huge \sf \underbrace {Solution}$

Let's check first one,

$\sf \: 1. \: (3,4,5)$

$\sf \implies \: (3,4,5)$

$\sf\implies {5}^{2} = {3}^{2} + {4}^{2}$

$\sf\implies25 = 9 + 16$

$\sf\implies25 = 25$

Here , The the square of the biggest number is equal to the sum of the square of remaining two sides.

Therefore ,Yes it is Pythagorean Triplet.

$\sf \: 2.(4,5,6)$

$\sf\implies {6}^{2} = {5}^{2} + {4}^{2}$

$\sf\implies \: 36 = 25 + 16$

$\sf\implies \: 36 ≠ 41$

Here , The the square of the biggest number is not equal to the sum of the square of remaining two sides.

Therefore ,No it isn't Pythagorean Triplet.

$\sf \: 3.(7,8,9)$

$\sf\implies {9}^{2} = {7}^{2} + {8}^{2}$

$\sf\implies \: 81 = 49 + 64$

$\sf\implies \: 81 ≠ 113$

Here , The the square of the biggest number is not equal to the sum of the square of remaining two sides.

Therefore ,No it isn't Pythagorean Triplet.