
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 equilateral triangle $ABC$ a point $P$ lies such that $PA = 7$, $PB = 7$, and $PC = 14$. Determine the area of the triangle $ABC$.
**A)** $49\sqrt{3}$ \\
**B)** $98\sqrt{3}$ \\
**C)** $42\sqrt{3}$ \\
**D)** $21\sqrt{3}$ \\
**E)** $98$

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