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 = 8, then what is AB?
Here is a similar question: https://web2.0calc.com/questions/power-of-a-point-question
+128407 We have this relationship
XY^2 = XB * AX
8^2 = XB (15)
64 = XB (15)
64 / 15 = XB
AB = AX - XB = 15 - 64/15 = (225 - 64) / 15 = 161/15
+1694 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 = 8, then what is AB?
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AX = 15 XY = 8 BX = x
x(AX) = (XY)2 x = 4 4/15
AB = AX - x = 10 11/15
