First, we need to find the other sides. Since 30° is given to us, we can use sine and cosine to figure out the other side.
To find the side opposite to the angle, we use sine, which is opposite/hypotenuse. It is given that the hypotenuse is 12, so therefore:
sin(30°)=x/12
x = 12sin(30) = 6
To find the side adjacent to the angle, we use cosine, which is adjacent/hypotenuse. Since hypotenuse is 12, we get:
cos(30°)=x/12
x = 12cos(30) = (12√3)/2 = 6√3
Therefore, the perimeter of the triangle is 12+6+6√3 = 18+6√3
