
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
Three squares are placed such that the area of one square equals the length of the diagonal formed by the other two squares. The areas of the squares are $36$, $64$, and $100$. Determine the area of the interior triangle formed by connecting the centers of the squares.
A) 14
B) 24
C) 36
D) 48
E) 72

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