
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
Two congruent 45-45-90 triangles overlap with their hypotenuses coinciding for half their lengths. Given that the hypotenuse of each triangle is 8 units, calculate the area common to both triangles.
A) $2\sqrt{2}$ square units
B) 3 square units
C) 4 square units
D) 5 square units
E) 6 square units

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