
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
If in triangle  $ABC$  ,  $AC$ = $15$ ,  $BC$ = $13$  and  $IG||AB$  where  $I$  is the incentre and  $G$  is the centroid , what is the area of triangle  $ABC$  ?

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