
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
Through any arbitrary point inside a triangle, lines parallel to the sides of the triangle are drawn. These lines divide the area of the triangle into six parts. What is the area of the given triangle if the areas of the resulting 3 smaller triangles are given: \( t_{1}, t_{2}, t_{3} \)?

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