Question

Which of the following is the Pythagoras Triplet ​

Answer 1

Step-by-step explanation:

(2,3,4) is not a Pythagorean triplet

Remaining are all Pythagorean triplets

Rule:-a²+b²=C²

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

$\huge(2,3,4)$is not a Pythagoras triplet

Pythagoras theorem:

In Pythagoras Sum of square of base and perpendicular is equal to the square of its hypotenuse.

$\bold{\boxed{ {H}^{2} = {P}^{2} + {B}^{2} }}$

Now, we will check one by one all triplets :

(3,4,5)

${3}^{2} + {4}^{2} = 9 + 16 = 25$

${5}^{2} = 25$

Here,

$= > {3}^{2} + {4}^{2} = {5}^{2}$

It's a Pythagoras triplet.

(6,8,10)

$\sf= > {6}^{2} + {8}^{2} =36 + 64 = 100$

$\sf= > {10}^{2} = 100$

Here,

$\sf= > {6}^{2} + {8}^{2} = {10}^{2}$

It's a Pythagoras triplet.

(2,3,4)

$\sf= > {2}^{2} + {3}^{2} = 4 + 9 = 13$

$\sf= > {4}^{2} = 16$

Here,2² +3² not equals to 4²

So,it's not a Pythagoras triplet

(5,12,13)

$\sf= > {5}^{2} + {12}^{2} = 25 + 144 = 169$

$\sf = > {13}^{2} = 169$

It's a Pythagoras triplet.