Answer :
The length of side yz is 15.7 units.
The link between the angles and sides of all kinds of triangles, including acute, obtuse, and right-angle triangles, is known as the law of sines. It asserts that for all sides and angles in a certain triangle, the ratio of a triangle's side length to the sine of an angle opposite that side is the same.
You must know two sides of an angle in a triangle or two sides and an angle across from one of them in order to employ the law of sines. You will discover the law of sines in this article, along with its definition, formula, applications, difficulties, and proof. You will also learn when to employ the rule of sines.
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
We have the following:
X = 32°
z = 24
Z = 180 - 32 - 94 = 54°
Substituting the value in x / sin X = y / sin Y = z / sin Z
We get,
x/sin (32) = 24 / sin (54)
x = sin ( 32) × (24) / sin (54)
x ≈ 15.7 units
The length of the side yz is equal to x = 15.7 units.
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