
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 rhombus has diagonals that measure 18 units and 26 units. Calculate the area of the rhombus, and verify if the diagonals are perpendicular by determining if the rhombus can be divided into four right-angled triangles.

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