  Configuration properties of observed galaxy triplets are studied with the use
of the method of configuration parameters and Agekian-Anosova configuration
diagram. Statistically significant excess of the hierarchical configurations
for the galaxy triplets of the Local Supercluster (LS) is established. The
samples of the Interacting, Northern and Southern galaxy triplets do not
demonstrate the same excess. Our results testify that the model of the dark
matter concentrated in the halo of individual galaxies is convenient for
dynamically young systems to which the most of LS triplets belong, whereas the
model of the dark matter concentrated in the triplet's volume is more
convenient for the compact triplets.
