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In the diagram,  triangle BDF and ACE  have the same area. If  DB = 2, BA = 4, and AE = 3, find the length of EC.

 

 Aug 4, 2021
 #1
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triangle BDF and ACE  have the same area   

 

Except ACE is a straight line.  Typo?     

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 Aug 4, 2021
 #2
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In the diagram, triangles BDF and FCE  have the same area. If  DB = 2, BA = 4, and AE = 3, find the length of EC.

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If [BDF] = [FCE] then [ABC] = [ADE]

 

[ADE] = 1/2(6 * 3) = 9

 

1/2[4 * (3 + EC)] = 9

 

EC = 1.5

 Aug 4, 2021

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