
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, $PQRS$ is a parallelogram with side lengths $PQ = RS = 8$, $PS = 7$, and diagonals $PR = 10$. The point $R$ is on $\overline{PU}$ and $Q$ is the midpoint of hypotenuse $\overline{PU}$ in right triangle $PTS$. Compute $RU$.
A) 4.5
B) 5
C) 5.5
D) 6

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