Point Y is on a circle and point P lies outside the circle such that PY is tangent to the circle. Point A is on the circle such that segment PA meets the circle again at point B. If PA = 15 and PY = 11, then what is AB?
We have this relationship (secant - tangent theorem )
PY^2 = AP * PB
11^2 = 15 * PB
121 / 15 = PB
So
AB = AP - PB
AB = 15 - 121 / 15 = (225 -121) / 15 = 104 / 15
