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Let XY be a tangent to a circle, and let be a XBA secant of the circle, as shown below. If AX = 16 and XY = 10, then what is AB?

 

 Mar 29, 2022
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Tangent - Secant Theorem  that says that

 

XB ( XB + BA) =  XY^2

 

XB ( AX)   = XY^2

 

So 

 

XB ( 16)  =  10^2

 

XB  (16)  = 100

 

XB =  100 / 16   =  6.25

 

AB  =  AX -  XB

 

AB =  16  - 6.25

 

AB  = 9.75

 

 

cool cool cool

 Mar 29, 2022

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