$(6$ points$)$ Difficulty $(4/5)$

Ball joints connect the ends of each of the struts shown. The resulting structure supports a force of $F=1800N$ which lies in the $xz$ plane. The dimensions of this arrangement are:

$a=4cm$

$b=15cm$

$c=10cm$

$d=8cm$

$g=7cm$

$h=8cm$

$k=15cm$

Find the force in each strut. Denote compressive forces with negative values and tensile forces with positive values.

$F_{AB}=$

$F_{AC}=$

$F_{AD}=$