
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 a right triangle, the shortest side is 5 meters and the total of the two shorter sides (one being the base and the other the height) is 13 meters. The triangle's longest side is the hypotenuse. What is the area of this triangle?

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