
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
Let \( O \) be the centroid of triangle \( ABC \), and let \( s_1 = OA + OB + OC \). If \( s_2 = \frac{1}{2}(AB + BC + CA) \), find the relationship between \( s_1 \) and \( s_2 \).
A) \( s_1 > s_2 \)
B) \( s_1 < s_2 \)
C) \( s_1 = s_2 \)
D) \( s_1 \geq s_2 \)

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