
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
If a tetrahedron has three faces that are right-angled triangles, then the fourth face could be: ① a right-angled triangle; ② an acute-angled triangle; ③ an obtuse-angled triangle; ④ an isosceles triangle; ⑤ an isosceles right-angled triangle; ⑥ an equilateral triangle. Please write down the correct number(s)_______

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