
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
Consider an isosceles trapezoid where the lengths of the sides are as follows: the longer base $AB$ is 30 units, the shorter base $CD$ is 12 units, and the legs $AD$ and $BC$ are each 13 units. The height from $C$ and $D$ to base $AB$ is perpendicular. How long is the diagonal segment $AC$?

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