
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
Right triangles \(T_1\) and \(T_2\) have areas of 4 and 8, respectively. A side of \(T_1\) is congruent to a side of \(T_2\), and a different side of \(T_1\) is congruent to a different side of \(T_2\). Find the sum of the squares of the hypotenuses of triangles \(T_1\) and \(T_2\).
A) 76
B) 84
C) 88
D) 96 
E) 104

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