
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 the angles A, B, C of triangle ABC correspond to the sides a, b, c respectively, and vectors $\overrightarrow {m}$ = (a, $- \sqrt {3}b$) and $\overrightarrow {n}$ = (cosA, sinB), and $\overrightarrow {m}$ is parallel to $\overrightarrow {n}$.
(1) Find angle A.
(2) If $a = \sqrt{39}$ and $c = 5$, find the area of triangle ABC.

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