
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 $\triangle PQR$, $\angle PQR=50^\circ$, $PQ=8$, and $PR=10$. Points $S$ and $T$ lie on $\overline{PQ}$ and $\overline{PR}$ respectively. What is the minimum possible value of $QS+ST+TR$?
A) 16.337
B) 17.5
C) 21.0
D) 14.0
E) 18.5

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