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!!!

Noori

Noori Aug 2, 2020

#2**+1 **

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.

https://web2.0calc.com/questions/help-please-thx_4#r4

qwertyzz Aug 2, 2020

#5**+1 **

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.)

** **

Guest Aug 2, 2020

#6**0 **

How do you know that both of those answers are incorrect? What's the correct answer, then???

Guest Aug 2, 2020

#11**+1 **

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.

Guest Aug 3, 2020