We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
129
1
avatar+142 

Determine the value of a. 

 Mar 24, 2019
 #1
avatar+102355 
0

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

6 Online Users