A simple truss has a hinge $($pin$)$ support at D and a roller support at E$.$ The beam JK is hung from the truss by cables attached at points $G$ and $F.$ The beam supports the distributed load shown and a point load of $3kN.$ The truss also supports $12kN$ and $6kN$ point loads at B and $H$ respectively. Determine:

a$)$ The reactions at supports $D$ and $E,$

b$)$ The tensions in cables GJ and FK$,$ and

c$)$ The force in each member of the truss and state whether the member is in tension, compression or a zero force member