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In triangle WXY, WX is eight and XY is fourteen. The circumcircle of triangle WXY is constructed. The tangent to the circumcircle at X is drawn, and the line through W parallel to this tangent intersects XY at Z. Find YZ.

 Feb 8, 2020
 #1
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By similar triangles, YZ = 2*15^2/25 = 18.

 Feb 8, 2020
 #2
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angle XWZ = Angle WYX

Thus triangle WXZ similiar to triangle WXY. We get:

XZ/8 = 8/14

XZ=32/7

Hence: YZ=14-32/7=66/7

 Feb 10, 2020

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