
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, 90, and 100 units. An altitude is dropped from one vertex to the side of length 100 units. Calculate the length of the larger segment that the altitude divides on the side of 100 units.
A) 80
B) 82.5
C) 85
D) 87.5

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