  We study the thermodynamics and thermodynamic geometry of Park black hole in
Ho\v{r}ava gravity. By incorporating the ideas of differential geometry, we
have investigated the thermodynamics using Weinhold geometry and Ruppeiner
geometry. We have also analyzed it in the context of newly developed
geometrothermodynamics(GTD). Divergence of specific heat is associated with the
second order phase transition of black hole. Here in the context of Park black
hole, both Weinhold's metric and Ruppeiner's metric well explain this phase
transition. But these explanations depend on the choice of potential. Hence the
Legendre invariant GTD is used, and with the true singularities in the
curvature scalar, GTD well explain the second order phase transition. All these
methods together give an exact idea of all the behaviors of the Park black hole
thermodynamics.
