Work out the length of EF

Answer:
EF = 2 cm
Step-by-step explanation:
HK = HG + GK
10 = 4 + GK
GK = 10 - 4
GK = 6 cm
or
KG = 6cm
[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]
[tex]\because EG\cong KG.. (cpct) [/tex]
[tex]\therefore EG = 6 cm [/tex]
[tex]\because FG\cong HG.. (cpct) [/tex]
[tex]\therefore FG = 4 cm [/tex]
EF = EG - FG (E-F-G)
EF = 6 - 4
EF = 2 cm