
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 sides 15 cm and 20 cm. This triangle is similar to another triangle which has one of its sides as twice the length of a rectangle's shorter side. If the rectangle's shorter side is 30 cm and the longer side is 60 cm, what is the perimeter of the larger triangle?

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