
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
The vertices of the pyramid are located at the points \(O(0,0,0)\), \(A(5,2,0)\), \(B(2,5,0)\), and \(C(1,2,4)\). Calculate its volume, the area of the face \(ABC\), and the height of the pyramid dropped onto this face.

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