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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.

 

 Feb 13, 2021
 #1
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 If [BDF] = [ACE] then  ΔABE ~  ΔADC

 

AB / AE = AD / AC

 

AC = 4.5

 

EC = 1.5

 Feb 14, 2021
 #2
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Corrections:     If [BDF] = [EFC] then  ΔABE ~  ΔADC cheeky

Guest Feb 14, 2021

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