In triangle XYZ, \(\angle Y = 45^\circ\) and \(\angle Z = 60^\circ\) If XZ = 4 then what is XY?
By the Law of Sines, XY = 4*sqrt(2).
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