The jet-cooled coinage metal triatomic molecules Cu2Ag, Cu2Au, and CuAgAu have been investigated using resonant two-photon ionization spectroscopy. One band system, labeled as the A approximately - X approximately system, has been observed for each species, with origin bands at 13 188, 17 217, and 17 470 cm-1, respectively. Vibrational progressions have been assigned and vibrational constants have been extracted using a linear least-squares fitting procedure. For Cu2Ag, 47 vibrational bands have been assigned within the A approximately - X approximately system. The upper states of these bands derive from combinations of two symmetric (a1) and one antisymmetric (b2) mode in the C2-upsilon point group. For the A approximately - X approximately system of Cu2Au, only seven vibrational bands have been observed, all occurring within a 500 cm-1 range. Lifetime measurements for the observed vibrational levels support the possibility that predissociation may be occurring in the A approximately excited state of Cu2Au and this may be limiting the number of vibrational levels observed within this state. Finally, in the case of CuAgAu, 92 vibrational bands have been assigned, corresponding to excitations of three totally symmetric (a') vibrational modes in the C(s) point group. For this molecule, a complete set of vibrational frequencies (omega-i) and anharmonicities (xi-ij) have been obtained for the excited A approximately state. In addition, the observation of weak hot bands in the spectrum permits the three vibrational modes of the X approximately ground state to be characterized by nu-1 = 222.83 +/- 0.29, nu-2 = 153.27 +/- 0.22, and nu-3 = 103.90 +/- 0.28 cm-1 for (CuAgAu)-Cu-63-Ag-107-Au-197 (1-sigma error limits).