
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 a quadrilateral $ABCD$, points $A, B, C,$ and $D$ are positioned such that $AB = 15\text{ cm},$ $DC = 25\text{ cm},$ and $AD = 7\text{ cm}.$ $BC$ is perpendicular to $AD.$ Find the length of $AC,$ to the nearest tenth of a centimeter.

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