Platyhelminthes are triploblastic, acoelomate, bilaterally symmetrical organisms that are dorsoventrally flattened. They are classified into three classes - Turbellaria, Trematoda, and Cestoda - based on characteristics like habitat, body structure, and life cycle. Turbellaria are mostly free-living while Trematoda and Cestoda are parasitic. Trematoda have highly evolved suckers and a complex life cycle, while Cestoda are ribbon-like tapeworms that live internally and lack digestive systems.