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.

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.

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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) (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.

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