It is very important that any pulsatile structure in the hepatobiliary triangle is not the cystic artery, it is something else, cystic artery become pulsatile only after ligation and division.
Calot's Triangle and Hepatocystic or Hepatobiliary Triangle: The famous triangle [Fig-3] was described as bounded by the cystic duct laterally, CHD medially and the cystic artery superiorly in its original description by Calot in 1891.In its present interpretation the upper border is formed by the inferior surface of the liver with the other two boundaries being the cystic duct and the bile duct.
The cystic artery arising outside the hepatobiliary triangle
usually passes ventral to the common hepatic duct and in some cases it may even be inferior to the cystic duct, thus becoming the first structure encountered in dissection of the inferior border of the hepatobiliary triangle
by laparoscopy and has a chance of accidental injury (Hugh et al.).