
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
A semicircle has diameter  $AB$  with  $AB = 100$ . Points  $C$  and  $D$  lie on the semicircle such that  $AC = 28$  and  $BD = 60$ . Find  $CD$ .

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