
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
Two similar right triangles have areas of 8 square inches and 200 square inches respectively. The length of the shorter leg of the smaller triangle is 2 inches. What is the sum of the lengths of the legs of the larger triangle?

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