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In the following diagram, AB=50. Find AX.

 

 Oct 31, 2018
 #1
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I found answer

 Oct 31, 2018
 #2
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its 

 Oct 31, 2018
 #3
avatar+129852 
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Let AX  =  x    and  BX  = 50 - x

 

Angle C is bisected...so....we have this relationship

 

CA / CB   =  AX / BX

 

28/ 56  =  x  /  [ 50 - x ]        

 

1 / 2   =  x / [ 50 - x]      cross-multiply

 

50 - x   =  2x      add x to both sides

 

50  =  3x      divide both sides by 3

 

50/3   =  x   =  AX

 

 

cool cool cool

 Oct 31, 2018

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