From figure find measure of side AB = y of triangle ABC

questions on side and angle of traingle

Triangle ABC is right angle triangle.

So we get,

x + 2x + 90 = 180

3x = 90

x = 30

Which means triangle ABC is

30-60-90 right angle triangle

We get,

sin 30 = opposite side / hypotenuse

1/2 = AB/AC = y/12

Solving above equation we get

y = AB = 6