
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 a similar configuration, consider rectangle $EFGH$ with segment $RS$ dividing the rectangle into two congruent rectangles, not squares. $EFGH$ is twice as long as it is wide. Determine how many right triangles can be drawn using three of the points $\{E, R, F, G, S, H\}$ as vertices.

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