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Let XY be a tangent to a circle, and let XBA be a secant of the circle, as shown below. If AX = 15 and XY = 9, then what is AB?

 Apr 23, 2020
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XY · XY  =  XA · XB

 

9 · 9  =  15 · XB

  XB  =  81 / 15  =  5.4

 

AX =  AB + BX

15  =  AB + 5.4

AB  =  9.6 

 Apr 23, 2020

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