
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, with its bases being right triangles where $AB = AC = 15$ units. Points $X$, $Y$, and $Z$ are the midpoints of edges $AB$, $BC$, and $BD$, respectively. The vertex angle at $B$ of the right triangle (base) is $90^\circ$. Determine the perimeter of triangle $XYZ$.

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