A triangular concrete dam has its upstream vertical where water is flushed in its top. It is $6$ m wide and $8$ m high. The hydrostatic uplift pressure is $\backslash (100\backslash \%\backslash )$ at the heel and $\backslash (0\backslash \%\backslash )$ at the toe. The coefficient of static friction between the foundation and the dam base is $0\mathrm{.}80.$

a$)$ Calculate the factor of safety against sliding;

b$)$ Compute the factor of safety against overturning;

c$)$ Determine the minimum and maximum pressure $\backslash ((\backslash$mathrm$\{$kPa$\})\backslash )$ at the base of the triangular dam.