Area and ratio: Geometry question

sekci

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Hello, I am not sure how to do this question. Can you please help?
 

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Hello, I am not sure how to do this question. Can you please help?
Use:

\(\displaystyle \frac{BC}{EC} \ = \frac{AC}{DC} \ = \frac{AB}{ED}\)........ and,,,,,,,,\(\displaystyle \frac{AB}{BF} \ = \frac{BC}{BE} \ = \frac{AC}{FE}\)

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

1600349377108.png
 
I really do not know how to even start. I know it’s going to have something to do with ratio and proportion and probably not laws of Sine and Cosine, but I feel very lost. I will try to look at what you’ve written here.
 

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I don’t know how to connect the area of the parallelogram to the ratio and proportion
 
I don’t know how to connect the area of the parallelogram to the ratio and proportion
Please show us what you have tried and exactly where you are stuck.

Please share your work/thoughts about this problem.
 
I have written work down in the second picture that I uploaded. As you can see, I have two many variables and not enough equations. I think I am going in the wrong direction.
 
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