
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 beam in the shape of a triangular prism has had pieces cut off from both sides (with a flat saw). The cuts did not touch the bases or each other.

a) Can the cuts be similar, but not equal, triangles?

b) Is it possible for one cut to be an equilateral triangle with a side of 1, and the other cut to be an equilateral triangle with a side of 2?

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