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In ABC, we have AB=16, BC=14, and Angle A=60. Find the sum of all possible values of AC.
 

 Oct 2, 2021
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In ABC, we have AB=16, BC=14, and Angle A=60. Find the sum of all possible values of AC.

 

Let the line segment CD be perpendicular to AB.

 

AD = x

 

x√3 = sqrt[142 - (16 - x)2]

 

x = 3,     x = 5

 

AC = 3/cos(60º) = 6

 

AC = 5/cos(60º) = 10

 

The sum of all possible values of AC = 16

 Oct 2, 2021

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