
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 the diagram, the area of triangle $ABC$ is 36 square units. What is the area of triangle $BCD$?

[asy]
draw((0,0)--(40,0)--(9,18)--(0,0));
dot((0,0));
label("$A$",(0,0),SW);
label("6",(3,0),S);
dot((6,0));
label("$C$",(6,0),S);
label("34",(23,0),S);
dot((40,0));
label("$D$",(40,0),SE);
dot((9,18));
label("$B$",(9,18),N);
draw((6,0)--(9,18));
[/asy]

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