Step-by-step explanation:
In a $30^{\circ }-60^{\circ }-90^{\circ }$ triangle, the sides are in the ratio $1:\sqrt{3}:2$.
So, if the shortest side (opposite the $30^{\circ }$ angle) is 1, the other two sides would be $\sqrt{3}$ and 2.
If the shortest side is $\sqrt{3}$, the other two sides would be $1$ and $2\sqrt{3}$.
If the shortest side is 2, the other two sides would be $2\sqrt{3}$ and 4.
Therefore, in a $30^{\circ }-60^{\circ }-90^{\circ }$ triangle, the sides are $1:\sqrt{3}:2$, $2\sqrt{3}:1:2$, or $2:2\sqrt{3}:4$.
