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avatar+1042 

What is the value of x in the diagram?

Thanks so much!

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3+0 Answers

 #1
avatar+12266 
+2

The two sides of the smaller triangle (on the right) opposite x are equal lengths.  (it is a 45-45-90 triangle)

 

 

Now for the larger , left triangle:

 

sin 30  = opp/hyp

1/2   =   opp/8         opp = 4

 

Now use the Pythagorean theorem to find x

 

x ^2  =  4^2  + 4^2        x= 5.66 units

ElectricPavlov  Mar 3, 2018
edited by ElectricPavlov  Mar 3, 2018
 #2
avatar+86622 
+1

Thanks, EP.....here's another approach  using the Law of Sines

 

x / sin 30  =  8 / sin 45

 

x sin (45)  =  8 sin 30

 

x (1/ √2 )  =  8  (1/2)

 

x / √2  =  4

 

x  = 4√2  ≈  5.66    ...   just as EP found  !!!

 

 

 

cool cool cool

CPhill  Mar 3, 2018
 #3
avatar+1042 
0

Thanks so much you guys!!


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