Answer:
25
Step-by-step explanation:
We can calculate for a using sine rule.
For angle A,
A + 27° + 82° = 180 ( sum of angles in a triangle).
A + 109 = 180
A = 180 - 109 = 71°
Therefore,
A = 71°
calculating for side a
[tex] \frac{sin \: 27}{12} = \frac{sin71}{a} \\ a = \frac{12 \times sin71}{sin27} \\ a \: = \frac{11.346}{0.454} \\ a = 25[/tex]
