
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
The length of the base of an isosceles triangle is 12 cm, and the length of each of the equal sides is 18 cm. Altitudes are drawn to the equal sides. Calculate the length of the segment whose endpoints coincide with the bases of the altitudes.

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