
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 quadrilateral $ABCD$, $AB = 6$, $BC = 7$, and $CD = 25$ units. Angle $B$ and angle $C$ are both right angles. Point $E$ lies on line segment $CD$ such that $DE = 15$ units. What is the length of segment $AD$?

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