
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 square with a side length of 10 is cut diagonally from one corner to the opposite corner, resulting in two right triangular regions. Determine the dimensions of one of these triangular regions in terms of side lengths.

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