The ideology of “extended adjacency index” actuated to introduce the concept of extended distance energy \(E_{exd}(\psi )\) and thereby to compute extended distance energy of few standard graphs such as \(K_{p\times 2}\) , \(K_p\) , \(S_p^0\) , and \(K_{p,p}\) . In addition, the extended distance energy of several common fever medications, such as aspirin, Advil, and Acetaminopen, is estimated, and its resources are examined.