
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
Three equilateral triangles are cut from the corners of a large equilateral triangle to form an irregular hexagon. The perimeter of the large equilateral triangle is $60 \mathrm{~cm}$ and the perimeter of the irregular hexagon is $40 \mathrm{~cm}$. Find the sum of the perimeters of the triangles that were cut from the large triangle.

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