
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
The sum of the lengths of the three sides of a right-angled triangle is $16 \mathrm{~cm}$. The sum of the squares of the lengths of the three sides of the triangle is $98 \mathrm{~cm}^{2}$. What is the area, in $\mathrm{cm}^{2}$, of the triangle?
A) 8
B) 10
C) 12
D) 14
E) 16

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