
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 solid right prism \(ABCDEF\) has a height of 20 units. Its bases are equilateral triangles with each side measuring 10 units. Points \(X\), \(Y\), and \(Z\) are respectively the midpoints of edges \(AC\), \(BC\), and \(DC\). Determine the perimeter of triangle \(XYZ\).

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