
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
In triangle XYZ, angle XYZ is a right angle, XY = 5 units, and YZ = 12 units. A square is constructed on each side of the triangle. What is the number of square units in the sum of the areas of three squares (one each on XY, YZ, and XZ)?

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