Consider the truss shown below where $a=1\mathrm{.}70m,b=2\mathrm{.}27P_1=2\mathrm{.}30kN,$ and $P_2=8\mathrm{.}60kN.$

Determine the reaction at A and the forces in members $AB$ and $AD.$ You may do this using as few equations as possible. You MUST include all necessary free$-$body diagrams and equations in your explanations.

Draw a force polygon showing that all of the forces at joint A add to zero.

Identify all of the zero force members that can be identified by inspection.