
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
A triangle with integral sides has a perimeter of $13$. Determine the area of the triangle if it has one side length different from the other two, which are equal.
A) $\sqrt{30}$
B) $\sqrt{61.09375}$
C) $\sqrt{75}$
D) $\sqrt{50}$

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