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Chords WY and XZ of a circle are perpendicular. If XV = 4, WV = 3, and VZ = 9, then find YZ.

 

Guest Mar 21, 2017
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The products of associated chord segments in a circle are equal......so....

 

WV * VY  = XV * VZ

 

3 * VY  = 4 * 9

 

VY  =  4 * 9 / 3

 

VY  = 36 / 3

 

VY  = 12

 

And since VY and VZ are at right angles, YZ is the hypotenuse of right triangle VYZ

 

So....YZ  =  sqrt (VZ^2 + VY^2 )    =  sqrt ( 9^2 + 12^2)   =

sqrt (81 + 144)   =  sqrt (225)    =  15

 

 

cool cool cool

CPhill  Mar 21, 2017

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