Answer:
Option (A). 44.1
Step-by-step explanation:
In the figure attached,
Triangle XYZ is am obtuse triangle having,
m∠XZY = 133°
m(YZ) = 21 units
m(XZ) = 27 units
By Cosine rule,
(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ
Where θ is the angle opposite to side XY.
(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°
= 1943.38614
XY = √1943.38614
XY = 44.084
≈ 44.1 units
Therefore, length of side XY = 44.1 units
Option (A) will be the answer.
