
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
In triangle \( ABC \), let \( K \) and \( L \) denote the midpoints of sides \( CB \) and \( CA \), respectively. It is given that the quadrilateral \( ABKL \) has a perimeter of \( 10 \) cm and the triangle \( KLC \) has a perimeter of \( 6 \) cm. Calculate the length of segment \( KL \).

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