Answer: About 14.2 units.
Explanation:
It's given that this is a right triangle since there is a 90-degree angle.
Since this is a 30-60-90, a "special" triangle, it's given that the shortest side is opposite of the 30-degree angle. The hypotenuse is twice the shortest leg (3 units * 2 = 6 units). Lastly, the longer side is the square root of 3 times the shorter leg (
).
We can draw a diagram of this, see attached.
Lastly, we will solve for the perimeter by adding together all of the side lengths.
P = 3 units + 6 units +
units = 3 + 6 + 5.1961524 ≈ 14.2 units