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Determine the value of a.
 

 May 16, 2020
edited by ss333  May 16, 2020
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This one is a little tough....

 

Connect WY   .....since WX  = XY  then angles WYX  and  and YWX  = 45°

 

So WY  is  the hypotenuse  of  triangle WXY   and  the  side opposite the hypotenuse  (WY)  =

 

sqrt [ 4^2 + 4^2]  =  sqrt [ 32] 

 

 

Now  angle  WYZ  in the other triangle formed  =  (135 - 45 )  = 90°

 

So....triangle  WYZ is also right  with  WZ  = the hypotenuse and  ZY and WY  the legs

 

So

 

YZ =  sqrt [WZ^2 - WY^2 ] =  sqrt [9^2  - (sqrt (32)^2 ]  =  sqrt [ 81 - 32]  = sqrt [ 49]  = 7  = "a"

 

 

cool cool cool

 May 16, 2020

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