Respuesta :

Answer:

x = 6√3

Step-by-step explanation:

Let's just look at the right triangle. This is a 30° 60° 90° triangle. The value of the large leg (x) will be the value of the small leg times √3. The value of the hypotenuse (12) is the value of the small leg times 2. Since we know that, we can divide 12 by 2 to find out the value of the small leg will be 6. Finally, know that we know that 6 is the value of the small leg, we can multiply 6 by √3 to find that the value of x = 6√3.

Answer: [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

This is a 30-60-90 triangle because we know that there is a right angle and a 60 degree angle

the side opposite to 30 degrees is a, 90 degrees is 2a, and the side opposite to 30 degrees is [tex]a\sqrt{3}[/tex]

2a = 12 so a = 6 and  [tex]a\sqrt{3}[/tex] is [tex]6\sqrt{3}[/tex]