We investigate an extension of the Minimal Supersymmetric Standard Model (MSSM) containing a SU(2) Higgs triplet of zero hypercharge and a gauge singlet. We focus on a scenario of this model which allows a light pseudoscalar and/or a scalar below 100 GeV in the spectrum, consistent with the most recent data from the LHC and the earlier data from the LEP experiments. We analyze the exotic decay of the discovered Higgs (h125) into two light (hidden) Higgs bosons present in the extension. The latter are allowed by the uncertainties in the Higgs decay h125 → WW∗, h125 → ZZ∗ and h125 → γγ. We have searched for such light Higgs bosons in the 2b+ 2τ, ≥ 3τ, 2b+ 2µ and 2τ + 2µ final states at the LHC with 13 and 14 TeV. A region of such parameter space can be explored with an integrated luminosity of 25 fb− 1 at the LHC. © Copyright owned by the author(s).