Three rods are welded together to form a corner that is supported by three eyebolts as shown in the figure.

Neglecting friction, determine the reactions at $A,B,$ and $C$ when $P=430lb,a=12in.,b=8in.,$ and $c=10$ in$.($Include a minus sign if necessary.$)$

The reaction at $A$ is $(]$ lb$)$ lb$)k.$

The reaction at $B$ is $($ lb$)$ lb$)k.$

The reaction at $C$ is $($ lb$)$

lb$)$ j$.$