The structure shown in $($Figure $1)$ forms part of a truss designed by an architectural

engineer to support the roof of an orchestra shell. The members $AB,AC,$ and $AD$ exert

forces $F_{AB},F_{AC},$ and $F_{AD}$ on the joint $A.$ The magnitude $|F_{AB}|=8kN.$ The vector

sum of the three forces equals zero.

Part A

What is the magnitude of $F_{AC}?$

Express your answer to three significant figures and include the appropriate units.

Part B

What is the magnitude of $F_{AD}?$

Express your answer to three significant figures and include the appropriate units.

$|F_{AD}|=$