
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
The area of a triangle is $\left(x^{3}y\right)^{2}$, and one of its sides is $\left(2xy\right)^{2}$. Find the height of this side.

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