
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 rectangle with dimensions 10 units by 6 units is cut diagonally from one corner to the opposite corner, creating two congruent right triangles. What are the dimensions of one of these triangles?

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