Triangle WXY has side lengths XY=14 and WX=8 . The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects XY at Z. Find YZ.
Thank you so much!!!
This question was answered here
Its always a good idea to search your problem before you post it.
A lot of problems have already been answered so there is no point in posting it here.
Here's the answer:
Let a triangle WXY be a right-angled triangle.
XY = 14 WX = 8
tan(Y) = 8 / 14 ∠Y = ∠XWZ = 29.7448813°
XZ = tan(XWZ) * WX = 4.571428571
YZ = XY - XZ = 9.428571429
( This is the correct answer!!! Believe me.)
How do you know that both of those answers are incorrect? What's the correct answer, then???
It would help if there were not two threads running for this question.
There is another thread which does contain the correct solution and the correct answer, 66/7.
#5 above should be disregarded, it considers only the specific case where WY is a diameter of the circle.
WY is parallel to the tangent a X, it needn't be the diameter.