Answer:

              AB = AC

              BD    CE

 

              AB/8 = 18/12

 

              AB = 12

 

    (AB)2 + (BC)2 = (AC)2

 

               (12 )2 + (BC)2 = (18)2

 

                 144 + (BC)2 = 324

 

                    (BC)2 = 180

 

               BC = √ 180 = 6 √ 5

 

 

Therefore, the perimeter of ∆ABC = 12 + 6 √ 5 + 18 =