
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 side view of three pipes placed in a triangular stacking configuration is shown. Each pipe has a diameter of 12 cm. The configuration forms an isosceles triangle, where the base is formed by two pipes and the third pipe is placed on top of these two supporting pipes.

Determine the total height, \(H\), of this stack of three pipes.

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