
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
Given a triangle \( \triangle ABC \) with \( D \) on \( BC \) such that the ratio of \( BD \) to \( DC \) is \( 5:2 \). The area of \( \triangle ABD \) is \( 35 \) square centimeters. Calculate the total area of triangle \( \triangle ABC \).

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