
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
Farmer Euclid has a field in the shape of a right triangle. The right triangle's legs have lengths $5$ and $12$ units. He leaves a small unplanted square $T$ in the corner where those sides meet at a right angle, and the rest of the field is planted. The shortest distance from $T$ to the hypotenuse is $3$ units. What fraction of the field is planted?
A) $\frac{14}{20}$
B) $\frac{7}{10}$
C) $\frac{3}{4}$
D) $\frac{2}{3}$
E) $\frac{6}{8}$

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