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In triangle XYZ, \(\angle Y = 45^\circ\) and \(\angle Z = 60^\circ\) If  XZ = 4 then what is XY?

 Aug 27, 2020
 #1
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By the Law of Sines, XY = 4*sqrt(2).

 Aug 27, 2020
 #2
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Acute scalene triangle.

 

Sides: XZ = 4    XY =2sqrt(6) = 4.899    YZ = 5.464

 

Area: T = 9.464
Perimeter: p = 14.363
Semiperimeter: s = 7.182

 

Angle ∠ Y = 45° = 0.785 rad
Angle ∠ Z = 60° = 1.047 rad
Angle ∠ X = 75° = 1.309 rad

 Aug 27, 2020

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