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Determine the value of a.

 

Guest Nov 20, 2017
 #1
avatar+438 
0

Can we see your work and how you tried to solve it?

Mr.Owl  Nov 20, 2017
 #2
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Sorry I did it on a white board, and I erased to work on the net problems.

Guest Nov 20, 2017
 #3
avatar+88980 
+1

Draw  WY...this will be the hypotenuse of  isosceles right triangle WYX

Its length will be   √2  * leg length  = √2 * 4    =   √32  units

 

Angle WYX  =  45....so angle  WYZ  =  m [angle ZYX]  - m [ WYX]  =  135 - 45  = 90°

 

So triangle  WYZ is a right triangle  with WZ  the hypotenuse  and legs  WY  and YZ 

 

And we can use the Pythagorean Theorem to find  YZ  =   "a"

 

So

 

WY^2  + YZ^2  =  WZ^2

 

(√32)^2  + YZ^2  =  9^2

 

32  +  YZ^2  =  81

 

YZ^2  =  81 - 32

 

YZ^2  =  49       take the square root of both sides

 

YZ  =  "a"   =   7

 

 

cool cool cool

CPhill  Nov 20, 2017
 #4
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0

-2+(-3)-5+2(3)

Guest Nov 20, 2017
 #5
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Thx I see what I did wrong.

Guest Nov 21, 2017

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