In the given diagram, the value of the side labelled x is 10.8 cm
Law of sines
From the question, we are to determine the value of side x
Using the law of sines
In any given triangle XYZ,
[tex]\frac{x}{sinX}=\frac{y}{sinY}=\frac{z}{sinZ}[/tex]
Thus,
In the given triangle,
[tex]\frac{x}{sin81^\circ} =\frac{7}{sin40^\circ}[/tex]
∴ [tex]x=\frac{7 \times sin81^\circ}{sin40^\circ}[/tex]
x = 10.75599
x ≈ 10.8 cm
Hence, the value of the side labelled x is 10.8 cm
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