
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
If trapezoid \(ABCD\) has one base \(AB\) that is twice as long as the other base \(DC\), and \(E\) is the intersection point of the two diagonals, and the length of diagonal \(AC\) is 11, find the length of \(EC\).

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