To increase the resilience of an application by splitting the traffic between two identical sites, a systems administrator should set up load balancing. Load balancing distributes network or application traffic across multiple servers or sites, ensuring no single server becomes overwhelmed and enhancing the availability and reliability of applications. Load balancing: Distributes traffic across multiple servers to ensure high availability and reliability. It helps in managing the load efficiently and can prevent server overloads. Geographic disruption: Not a standard term related to resilience. This might imply the use of geographically distributed sites but isn't the precise solution described. Failover: Refers to switching to a standby server or system when the primary one fails. It doesn't inherently split traffic but rather takes over when a failure occurs. Parallel processing: Refers to the simultaneous processing of tasks, not specifically related to load balancing web traffic.