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Hi could someone help me out? It would mean a lot to me.

 

In quadrilateral BCED, we have BD = 11, BC = 9, and CE = 2. Sides BD and CE are extended past B and C, respectively, to meet at point A. If AC = 8 and AB = 5, then what is DE?

 

Thanks!

 Apr 5, 2020
 #1
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By simiilar trianlges, DE = 16.

 Apr 5, 2020
 #2
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Use the cosine rule twice.

First in the triangle ABC to calculate the angle at A. (I got cos(A) = 1/10).

Second in the triangle ADE to calculate DE. 

I got DE = 18, but that should be checked.

 Apr 6, 2020

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