
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 are placed so that they overlap partly with one triangle slid along the hypotenuse of the other by 6 units. If the hypotenuse of each triangle is 16, find the area common to both triangles.
A) 20
B) 25
C) 30
D) 35

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