
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
In acute \\(\triangle ABC\\) with angles \\(A\\), \\(B\\), and \\(C\\) opposite sides \\(a\\), \\(b\\), and \\(c\\) respectively, given \\(a=4\\), \\(b=3\\), and the area of \\(\triangle ABC\\) is \\(3 \sqrt {3}\\), then \\(c=\\) \_\_\_\_\_\_.

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