
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
Angle $EAB$ is a right angle, and $BE = 12$ units. Additionally, a point $H$ is placed such that triangle $EAH$ is also a right triangle with $AH = 5$ units. Determine the number of square units in the sum of the areas of the three squares $ABCD$, $AEFG$, and $AHIJ$.

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