
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 sides of a triangle are $40$, $75$, and $100$ units. If an altitude is dropped upon the side of length $100$, the larger segment cut off on this side is:
**A)** 65.5  
**B)** 70.125  
**C)** 75  
**D)** 80

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