
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
A large triangle is divided into four triangles and three quadrilaterals by three thick line segments. The sum of the perimeters of the quadrilaterals is 25 cm. The sum of the perimeters of the four triangles is 20 cm. The perimeter of the original large triangle is 19 cm. Find the total length of the thick line segments.

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