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In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?

 

 

Thanks so much! I really appreciate it!

 Dec 23, 2020
 #1
avatar+117576 
+1

Using the Law of Sines

 

XY / sin 60  = 4/sin45

 

XY   =  4sin 60  /  sin 45

 

XY  = 4 sqrt (3) / 2  / ( sqrt (2) / 2 )

 

XY  = 2*2sqrt (3) / sqrt (2)

 

XY =  4sqrt (3) /sqrt (2)

 

XY    =  4 sqrt (6)  /2

 

XY  = 2sqrt (6)

 

cool cool cool

 Dec 23, 2020
 #2
avatar+31 
0

thanks for the help!

 Dec 24, 2020
 #3
avatar+117576 
0

You're welcome   ....

 

 

cool cool cool

CPhill  Dec 24, 2020

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