
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
Consider an isosceles triangle with a base of 10 inches and a height of 12 inches. Divide this triangle into eight triangular slices each with an equal area. What is the number of inches in the greatest perimeter among these eight pieces?

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