  In the standard model (SM), the $\rho$ parameter is equal to 1 and the ratio
$\lambda_{WZ}$ of Higgs $\to ZZ$ and Higgs $\to WW$ is also equal to 1 at the
tree level. When going beyond the SM with more than one types of Higgs
representations these quantities may be different from the SM predictions which
can provide crucial information about new physics. There may also exist a
certain charged Higgs $h^+$ decays into a $W^+$ and a $Z$. Imposing a custodial
symmetry can force the parameter $\rho$ to be equal to 1 with certain
predictions for $\lambda_{WZ}$ and $h^+ \to W^+Z$. However, imposing $\rho =1$
without custodial symmetry may have different predictions. We show how
differences arise and how to use experimental data to obtain information about
the underlying physics in a model with the SM plus a real and a complex
$SU(2)_L$ triplets.
