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generally static routing protocol has the most trustworthy administrative distance .i.e; 1 and in dynamic routing protocols EIGRP has the best AD.
When you have multiple routing protocols running (e.g. RIP, OSPF, EIGRP), the one with the lowest administrative distance is used for the routing table. The metric is different; it's used within the routing protocol to determine which route is best to a certain network. EIGRP has a AD of 90. RIP has an AD of 120. Since EIGRP has a lower AD, it will be used for the routing table.
R1 will install an EIGRP route using network B in its routing table because the administrative distance of EIGRP is lower than RIP.
h parameters
h parameters
Neighbor Table, topology and feasible successor
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RIP - Only for small networks or those with underpowered hardware that either don't support or don't have the resources for a better routing protocol. IGRP - Basically outdated and supplanted by EIGRP. Again, useful if you can not use EIGRP due to router limitations. EIGRP - Useful in Cisco-only networks of basically any size. EIGRP is an extremely robust and efficient protocol that suits nearly any need other than inter-organization routing. OSPF - Useful everywhere. It's standardized, so it's not limited to a particular vendor. Most appropriate in large multi-vendor networks. It has a higher CPU load than EIGRP does, and it requires more granular control from an administration perspective.
Your question can't be answered because you don't give any parameters for "best".
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***EIGRP traffic will use the path Router1, Router3, Router4, Router5 because it has the best metric.