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Determine the value of a. 

 Mar 24, 2019
 #1
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If we  join  W and Y......then triangle WXY  will  be a 45-45-90   right triangle  with WY as the hypotenuse  =

 

4 sqrt (2)   =  sqrt (32)

 

And angle WYZ  =  135 - 45  =  90.....so.....triangle WYZ will also be a right triangle.....with WY as one leg and WZ as the hypotenuse

 

So...ZY   =   sqrt  ( WZ^2  - WY^2)  =   sqrt (  9^2  -  (sqrt(32))^2 )  =  sqrt ( 81 - 32)  =  sqrt (49)  = 7  =  a

 

 

cool cool cool

 Mar 24, 2019

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