SOLUTION: 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. If XY = 14 and WX = 6, find YZ.

Algebra ->  Circles -> SOLUTION: 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. If XY = 14 and WX = 6, find YZ.       Log On


   

Question 1202495: 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. If XY = 14 and WX = 6, find YZ.
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Hint:
Use the Alternate Segment Theorem (aka Tangent-Chord Theorem)

More info, and a proof, can be found here
https://www.bbc.co.uk/bitesize/guides/z3c7tv4/revision/8

That theorem will be useful to set up two similar triangles.