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avatar+393 

Determine the value of $a$.

 Mar 18, 2020
 #1
avatar+111360 
+1

Connect   WY

 

Then triangle  WXY  is an isosceles  right triangle with leg WX  = leg XY

 

Using the  Pythagorean Theorem, we  can find  WY  as

 

√[  WX^2 + XY^2  ]   = √ [4^2 + 4^2 ] =  √32  =  4√2

 

And since  WX  = XY  then  angle WYX  =45°

 

So in triangle WYZ, angle  WYZ  = 135  -45  =  90°

 

So.....triangle  WYZ is also right WY and YZ  being legs and WZ the hypotenuse

 

So

 

√ [ WZ^2  - WY^2 ]  =  YZ

 

√[9^2 -32]  =  √[81 - 32]  = √49  = 7  =  YZ  =  "a"

 

cool cool cool

 Mar 18, 2020
 #2
avatar+393 
+1

thank u so much

Paresh  Mar 18, 2020
 #3
avatar+111360 
0

No prob......!!!!

 

 

cool cool cool

CPhill  Mar 18, 2020

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