In chemistry, graphs are commonly used to show the structure of chemical compounds, with nodes and edges representing the atom and bond types, respectively. Edge resolving set
λ
e
is an ordered subset of nodes of a graph
C
, in which each edge of
C
is distinctively determined by its distance vector to the nodes in
λ
. The cardinality of a minimum edge resolving set is called the edge metric dimension of
C
. An edge resolving set
L
e
,
f
of
C
is fault-tolerant if
λ
e
,
f
∖
b
is also an edge resolving set, for every
b
in
λ
e
,
f
. Resolving set allows obtaining a unique representation for chemical structures. In particular, they were used in pharmaceutical research for discovering patterns common to a variety of drugs. In this paper, we determine the exact edge metric and fault-tolerant edge metric dimension of benzenoid tripod structure and proved that both parameters are constant.