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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 ​

Sagot :

lucky75

Answer :-

As we know that,

Pythagoras triplet

1) a² + b² = c²

Let

[tex]\sf \: {2}^{2} + {2}^{2} = {4}^{2}[/tex]

[tex]\sf \: 4 + 4 = 16[/tex]

  • 8 ≠ 16

Hence, A can't be Pythagoras triplet

2) a² + b² = c²

[tex]\sf \:5 {}^{2} + {12}^{2} = {13}^{2}[/tex]

[tex]\sf \: 25 + 144 = 169[/tex]

  • 169 = 169

Therefore, B can be Pythagoras triplet

3)a² + b² = c²

[tex]\sf {3}^{2} + {5}^{2} = {6}^{2}[/tex]

[tex]\sf 9 + 25 = 36[/tex]

  • 34 ≠ 36

Hence, C can't be Pythagoras triplet

4) a² + b² = c²

[tex]\sf {5}^{2} + {4}^{2} = {7}^{2}[/tex]

[tex]\sf \: 25 + 16 = 49[/tex]

  • 41 ≠ 49

Hence, D can't be Pythagoras triplet

Therefore :-

Only B can be Pythagoras triplet.

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