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We have investigated the magnetic ground state properties of the quantum spintrimer compound strontium hydroxy copper chloride SrCu(OH)$_3$Cl using bulkmagnetization, specific heat measurements, nuclear magnetic resonance (NMR),and electron spin resonance (ESR) spectroscopy. SrCu(OH)$_3$Cl consists oflayers with isolated Cu$^{2+}$ triangles and hence provides an opportunity tounderstand the magnetic ground state of an isolated system of \textit{S} = 1/2arranged on an equilateral triangle. Although magnetization measurements do notexhibit a phase transition to a long-range ordered state down to \textit{T} = 2K, they reveal the characteristic behavior of isolated trimers with an exchangeof $J = 154$~K. The Curie-Weiss behavior changes  around 50--80~K, as is also seen in the NMR spin-lattice relaxation rate. Inzero magnetic field, our specific heat data establish a second-order phasetransition to an antiferromagnetic ground state below \textit{T}= 1.2 K. Wehave drawn a magnetic field-temperature ($H$-$T$) phase diagram based on thespecific heat measurements. The ESR data show divergence of the linewidth atlower temperatures, which precedes the phase transition to an antiferromagneticlong-range ordered state with unconventional critical exponents. Thetemperature variation of the $g$-factor further confirms the antiferromagneticphase transition and reflects the underlying magneto-crystalline anisotropy ofthe compound.

SrCu(OH)$_3$Cl, an ideal isolated equilateral triangle spin $S$ = 1/2 model system