Multiple choice

The length of sides of a triangle are $a-b,a+b$ and $\sqrt { 3{ a }^{ 2 }+{ b }^{ 2 } } \left( a>b>0 \right) $. The sine of its largest angle is?

$\displaystyle \frac { 1 }{ 2 } $
$\displaystyle -\frac { 1 }{ 2 } $
$\displaystyle \frac { \sqrt { 3 } }{ 2 } $
$\displaystyle -\frac { \sqrt { 3 } }{ 2 } $

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