
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that $a$, $b$, and $c$ are the sides opposite to angles $A$, $B$, and $C$ respectively in $\triangle ABC$, and $\sin C(\sin B-\sin C)=\sin ^{2}B-\sin ^{2}A$.

(1) Find $A$;

(2) If the area of $\triangle ABC$ is $\dfrac {5 \sqrt {3}}{4}$, and $b+c=6$, find $a$.

Present the answer in LaTex format: \boxed{Your answer}
user