
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
An isosceles triangle has a base of 12 cm and each of the other sides is 18 cm. What lengths should be marked off from the apex of the triangle along its sides so that, by connecting the ends of these segments, a trapezoid with a perimeter of 40 cm is formed?

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