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avatar+464 

please help me with this problem

 

 Oct 17, 2018
 #1
avatar+99441 
+1

Angle AED  = angle DEC

angle B  = angle C

So....triangle AEB  similar to triangle DEC

AB /EB  = DC / EC

50 / 20  = 35 /EC

2/5  = EC / 35

(2/5) * 35   =  EC

14  = EC

 

So 

AE  = AC - EC  = 54 - 14  = 40

 

So

 

EC /ED  = EB / AE

 

14/ ED  = 20 / 40

14/ ED  =   1/2

Which implies that  ED  = 28

 

 

cool cool cool

 Oct 17, 2018
 #2
avatar+464 
+2

Thank you so much Chris

 Oct 17, 2018

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