
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 $\text{ABC}$, the lengths of the sides opposite to angles $\text{A}$, $\text{B}$, and $\text{C}$ are $a$, $b$, and $c$ respectively, and $a = 2b\sin{\text{A}}$.

(II) Find the measure of angle $\text{B}$;

(III) If $a = 3\sqrt{3}$ and $c = 5$, find $b$.

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