
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 rhombus has diagonals such that one is three times the length of the other. Express the side of the rhombus in terms of $K$, where $K$ is the area of the rhombus in square inches.
A) $\sqrt{K}$
B) $\frac{1}{2}\sqrt{2K}$
C) $\sqrt{\frac{5K}{3}}$
D) $\frac{1}{4}\sqrt{4K}$
E) None of these

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