Suspended by three cables attached to a crane hook, the frame for an elevated pedestrian walkway is being lowered onto column

upports, as illustrated below. This frame is represented by the equilateral triangular plate shown below. Determine the tension in each

f the three cables, knowing that the frame, as modeled by the plate, weighs $40$ kN $.($Round the final answer to two decimal places.$)$

he tension in each of the three cables are $T_{AB}=kN,T_{AC}=kN,$ and $T_{AD}=kN.$