Final answer:
Liver segments 7, 8 and 4a (left to right) are part of the Right Lobe of the liver.
Step-by-step explanation:
The liver segments referred to as "Liver segments 7, 8 and 4a (left to right)" are part of the Right Lobe of the liver.
The liver is divided into two primary lobes: a large right lobe and a much smaller left lobe. In the right lobe, some anatomists also identify an inferior quadrate lobe and a posterior caudate lobe, which are defined by internal features.
The liver has a unique division where each lobe can be further divided into individual segments that have distinct vascular supply and biliary drainage. Specifically, segment 7 is located in the posterior part of the right lobe, segment 8 is in the anterior superior part of the right lobe, adjacent to the middle hepatic vein, and segment 4a is in the left lobe, but it's one of the segments that is often associated with the right lobe due to its position and function. All these segments are found in the right lobe, except for the slight complexity with segment 4a because the liver is divided into not just lobes but also functional segments.
The falciform ligament and ligamentum teres hepatis are anatomical structures that partially separate the right and left lobes of the liver, but they do not have a direct impact on the segmentation, which is internally determined and used for medical and surgical purposes. The hepatic artery supplies oxygenated blood to these segments, while other vascular structures ensure the delivery of nutrients and the drainage of bile.