Which Cisco DNA Center API retrieves site hierarchy with network health information?

The option referencing the Site Hierarchy Intent API is the correct choice for retrieving site hierarchy along with network health information. This API is designed specifically to provide insights into the hierarchical structure of network sites within Cisco DNA Center while simultaneously integrating health metrics that reflect the performance and status of those sites.

By using this API, users can extract layered information about their network's topology and the health state of each site, delivering a comprehensive view that facilitates decision-making regarding network improvements and adjustments. This combined data is crucial for network administrators who need to monitor and manage various sites effectively to ensure optimal functionality and performance across their networks.

The other choices focus on different functionalities. The Network Health Overview API generally provides broader health metrics for the entire network rather than specific site hierarchies. The Device Management API focuses on managing and monitoring individual network devices rather than site-level information. Lastly, the User Experience API is oriented towards analyzing user experience and satisfaction within the network but does not encapsulate site-specific hierarchy or health details.