
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
We are given two triangles with their side lengths in centimeters and an angle of $100^{\circ}$. We need to find the length of segment $CD$.

[asy]
pair A,B,C,D,E,F,G;

A=(0,0);
B=8*dir(0);
C=14*dir(100);
D=6+B;
E=D+4*dir(0);
F=D+7*dir(100);

draw(A--B--C--cycle);
draw(D--E--F--cycle);

label("A",F,N);
label("B",E+(1.4,0));
label("8",.5*(A+B),S);
label("18",.5*(B+C),NE);
label("14",.5*(A+C),SW);
label("\small{$100^{\circ}$}",A,NE);
label("4",.5*(D+E),S);
label("9",.5*(D+F),SW);
label("\tiny{$100^{\circ}$}",D+(1.8,0.8));
[/asy]

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