Online Course Discussion Forum

Need help on p18 in winter camp geometry blue

 
 
Picture of Iris Xu
Need help on p18 in winter camp geometry blue
by Iris Xu - Wednesday, 13 January 2021, 1:35 PM
 

thanks for any hints. 

 
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Re: Need help on p18 in winter camp geometry blue
by Dr. Kevin Wang - Wednesday, 13 January 2021, 3:53 PM
 

P18 is one of the harder problems.  There is a typo in the question (hopefully already corrected, but put here just in case): $G$ in the question should be $F$.  It takes some work, but eventually we want to find the ratio $BF/FC$.

Picture of Iris Xu
Re: Need help on p18 in winter camp geometry blue
by Iris Xu - Wednesday, 13 January 2021, 5:17 PM
 

Could you please give some hints on how to find this ratio? thanks

Picture of Iris Xu
Re: Need help on p18 in winter camp geometry blue
by Iris Xu - Thursday, 14 January 2021, 1:11 AM
 

BTW, I found FBD to be identical as AOB and many similar triangles but still got stuck in finding the ratio.