
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
$\triangle PQR$ has $PQ=150$ and $PR=QR=125$. Three line segments are drawn parallel to $QR$, dividing $\triangle PQR$ into four sections of equal area. Calculate the height, $h$, of the bottom section.

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