
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 has side lengths of 8 cm, 10 cm, and 12 cm. A similar triangle has a perimeter of 150 cm. Additionally, ensure that the smallest side of the similar triangle is more than 30 cm. What is the length of the longest side of this similar triangle?

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