
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
A rectangular prism measures 12-inches by 15-inches by 8-inches. What is the length, in inches, of the diagonal connecting point A and point C? [asy]
unitsize(0.75cm);
defaultpen(linewidth(0.7pt)+fontsize(10pt));
dotfactor=4;

draw((0,1)--(1,1)--(1,0)--(0,0)--(0,1)--(1,2)--(2,2)--(1,1));
draw((1,0)--(2,1)--(2,2));
dot((0,1));
label("$A$",(0,1),W);
dot((2,1));
label("$C$",(2,1),E);
[/asy]

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