  In this paper, we investigate how the LHC data limit the Higgs-related
couplings in the effective description of a strongly interacting extension of
the Standard model. The Higgs boson is introduced as a scalar composite state
and it is followed in the mass hierarchy by an $SU(2)$ triplet of vector
composites. The limits are calculated from the constraints obtained in the
recent ATLAS+CMS combined analysis of the data from 2011 and 2012. We find that
the data prefer the scenario where the Higgs couplings to the electroweak gauge
bosons differ from its couplings to the vector triplet. We also investigate the
unitarity limits of the studied effective model for the experimentally
preferred values of the Higgs couplings. We find from the
$\pi\pi\rightarrow\pi\pi$ scattering amplitudes that for the vector resonance
masses between one and two TeV significant portions of the experimentally
allowed regions are well below the unitarity limit. We also evaluate how the
existing ATLAS and CMS Run-2 data restrict our model with the upper bounds on
the resonance production cross section times its branching ratio for various
decay channels. The masses in the range $1\;\mbox{TeV}\leq M_\rho\leq
2\;\mbox{TeV}$ are not excluded in parts or even full parameter space of our
theory.
