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What are the possible values of x?

 

 Mar 25, 2021
 #1
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+1

Since  the apex angle is  bisected....we  have  the  following relationship

 

(x + 1) / 16  =  (x - 2)  / (x + 1)         cross-multiply

 

(x + 1) ( x + 1)    16 ( x - 2)

 

x^2 + 2x  + 1  =  16x  - 32        rearrange as

 

x^2 - 14x + 33  = 0             factor

 

(x - 11)  ( x -  3)  =  0

 

Set each factor  to 0  and solve for  x  and we  have  that

 

x  = 11       and    x   =  3

 

cool cool cool

 Mar 25, 2021

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