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what is the value of A?

 Nov 22, 2018
 #1
avatar+95884 
+1

If we conect WY.....we have an isosceles right triangle.... WY = 4sqrt (2)  = √32

 

And angle  WYX   = 45.....so angle WYZ = 135 - 45 = 90

 

So...triangle WYZ is a right triangle with WZ the hypotenuse and  WY a leg

 

So....by the Pythagorean Theorem     

 

 

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

 

 

 

cool cool cool

 Nov 22, 2018

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