Question

Solve for bc
A) 12
B) 10
C) 8
D) 6

Answer 1

I believe the answer to this is 12.

Answer 2

Answer: A) 12

Step-by-step explanation: As ∠EGF,∠ADF and ∠BCF are equal let it be equal to β

So, tanβ=
`(perpendicular)/(base)`

tanβ=
`(EF)/(EG)` for triangle FEG

and tanβ=
`(BF)/(BC)` for triangle FBC

and by using above two equations,we get

`(EF)/(EG)`=
`(BF)/(BC)`

i.e. 6/4=18/BC

hence, BC=12