
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, the total area is 120 units. Point G is the midpoint of side AB, and H is the midpoint of side AC. A line segment from B to H divides triangle ABH into two regions of equal area. Calculate the area of triangle BGH.
A) 20
B) 25
C) 30
D) 35

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