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What is EG?

 

 Mar 21, 2021
 #1
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We will find first:

 

y / 21 = (10 + y) / 36

 

y = 14

 

Using the angle bisector theorem we have:

 

DE / DG = x / x + 6

 

DG * x = DE (x + 6)

 

36x = 24(x + 6)

 

36x = 24x + 144

 

x = 12

 

EG = x + (x + 6) = 84

 Mar 21, 2021

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