
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
If \( a \), \( b \), and \( d \) are the lengths of a side, a shortest diagonal, and a longest diagonal, respectively, of a regular hexagon, then which of the following is correct?
**A)** \( d = a + b \)
**B)** \( d^2 = a^2 + b^2 \)
**C)** \( b = \sqrt{3} \cdot a \) and \( d = \frac{4a}{\sqrt{3}} \)
**D)** \( b = \frac{a + d}{2} \)
**E)** \( b^2 = ad \)

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