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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 line XY at Z. Find line YZ.

Please use geometry, and please put your answer as a fraction. 

 Oct 4, 2021
 #1
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YZ = 52/5.

 Oct 4, 2021
 #2
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https://web2.0calc.com/questions/help-please-thx_4#r4

 

Important:  triangle WXY can be any type of triangle and the result will be the same!!!

 

I used the right triangle, and I got this answer:  YZ = 9.428571429

 

I'll let you convert that decimal into a fraction. laugh

 Oct 4, 2021
edited by Dragan  Oct 4, 2021
 #3
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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 line XY at Z. Find line YZ.

Please use geometry, and please put your answer as a fraction.)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We can solve this problem using a similar triangle formula.

Triangles WXY and WXZ are similar!

8/14 = (14 - YZ)/8

YZ = 66/7

 Oct 4, 2021

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