
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 right triangle has a hypotenuse of length $x$ and one leg which is $\sqrt{3}$ times longer than the other. Calculate the area of the triangle.
A) $\frac{x^2}{4}$  
B) $\frac{x^2}{8}$  
C) $\frac{\sqrt{3}x^2}{8}$  
D) $\frac{3x^2}{8}$  
E) $\frac{x^2}{2}$

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