Answer:
b = 12[tex]\sqrt{3}[/tex] = 20.78
c = 24
Step-by-step explanation:
The sides of a 30-60-90 triangle always have the same proportion to each other. The side opposite the 30 degree angle is x, the side opposite the 60 degree angle is x [tex]\sqrt{3}[/tex] and the side opposite the 90 degree angle is 2x (this side is called the hypotenuse) .
Since we know the side opposite the 30 degree angle here is 12, then we know that the side opposite the 90 degree angle is 2 times the side opposite the 30 degree angle, c = 24 units (2 x 12).
Finally, the side opposite the 60 degree angle is 12[tex]\sqrt{3}[/tex] which equals 20.78 units.
