Question

Which of the following can be a Pythagorean triplets?:

a) 2cm 2cm ,4cm b) 5cm, 12cm ,13cm c) 3cm ,5cm ,6cm d) 7cm, 4cm 5 cm.


need full solution
or I'll report ​

Answer 1

Answer :-

As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

`\sf \: {2}^(2) + {2}^(2) = {4}^(2)`

`\sf \: 4 + 4 = 16`

• 8 ≠ 16

Hence, A can't be Pythagoras triplet

2) a² + b² = c²

`\sf \:5 {}^(2) + {12}^(2) = {13}^(2)`

`\sf \: 25 + 144 = 169`

• 169 = 169

Therefore, B can be Pythagoras triplet

3)a² + b² = c²

`\sf {3}^(2) + {5}^(2) = {6}^(2)`

`\sf 9 + 25 = 36`

• 34 ≠ 36

Hence, C can't be Pythagoras triplet

4) a² + b² = c²

`\sf {5}^(2) + {4}^(2) = {7}^(2)`

`\sf \: 25 + 16 = 49`

• 41 ≠ 49

Hence, D can't be Pythagoras triplet

Therefore :-

Only B can be Pythagoras triplet.