What is the length of line YX? Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth. https://static.k12.com/nextgen_media/assets/8107298-NG_GMT_SemB_10_UT_06.png

Guest Mar 20, 2017

#1**+1 **

Assuming YX is tangent to the circle, we can solve this using the secant-tangent theorem which says that the product of the secant length and its external segment = to the square of the length of the tangent segment.....so

ZY * VY = (XY)^2 ......so.....

(19 + 9) * 9 = (XY)^2

28 * 9 = (XY)^2

252 = (XY)^2

sqrt(252) = XY

sqrt (36 * 7) = XY

6sqrt(7) = XY ≈ 15.87

CPhill
Mar 20, 2017