We report angle-resolved photoemission spectroscopy (ARPES) studies combined with calculations to confirm that the magnetic ordering vector transition from to in the metallic triangular antiferromagnets () is induced by the electronic structure change in the system. The ARPES-measured Fermi surface (FS) maps of show two hexagonal and one circular holelike FSs around , which matches well with the triple-Q state by taking into account the contribution of nesting vectors occurring between Co and Ta orbitals. In the case of , a new electron pocket around K appears, and the FS geometry changes as a result of the correlation effect of tripods forming in the system. The magnetic susceptibility calculations based on the charge-self-consistent band structures and the random phase approximation indicate that the most stable magnetic ordering vector (1/2,0,0) split into (1/6,0,0) and (1/2,0,0), which is consistent with the magnetic phase transition around in .