
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 $ABCD$, $AB = 6$, $BC = 19$, $CD = 6$, $DA = 10$, and $BD$ is an integer. What is $BD$?
A) 13
B) 14
C) 15
D) 16
E) 17

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