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\(ABC\) is a triangle and \(G\) is its centroid. If \(AD = 12 \ cm\), \(BC = 8 \ cm\) and \(BE = 9 \ cm\), find the perimeter of \(\triangle BDG\).
 
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Answer:
 
Perimeter of \(\triangle BDG =\)  
 
(Note: Enter the number in the first box and units in the second box.)