If in the triangle ABC, B=45^(@), then a...

If in the triangle ABC, `B=45^(@)`, then `a^(4)+b^(4)+c^(4)` is equal to :

A

`2a^(2)(b^(2)+c^(2))`

B

`2c^(2)(a^(2)+b^(2))`

C

`2b^(2)(a^(2)+c^(2))`

D

`2(a^(2)b^(2)+b^(2)c^(2)+c^(2)a^(2))`

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The correct Answer is:

C

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