
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
Given the areas of the three squares are $36$, $64$, and $100$, find the area of the interior triangle if the largest square is diagonal to the other two squares.
A) 20
B) 24
C) 30
D) 36

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