The side length of the triangle (y) will be 45.88 units.
What is the sine law?
The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
The angle of a triangle is 42° and its opposite side is 31. And the angle of a triangle is 85° and its opposite side is y. Then by the sine law, the equation is written as,
y / sin82° = 31 / sin42°
Simplify the equation, then the value of the variable 'y' is calculated as,
y / sin82° = 31 / sin42°
y = 31 x sin82° / sin42°
y = 31 x 1.4799
y = 45.88 units
The side length of the triangle (y) will be 45.88 units.
More about the sine law link is given below.
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