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a, b, c are the lengths of three sides o...

a, b, c are the lengths of three sides of a `DeltaABC`. If a, b, c are related by the relation `a^(2)+b^(2)+c^(2)=ab+bc+ca`, then the value of `(sin^(2)A+sin^(2)B+sin^(2)C)` is

A

`(3)/(4)`

B

`(3sqrt(3))/(2)`

C

`(3)/(2)`

D

`(9)/(4)`

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The correct Answer is:
D
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