Answer
$x = 3$
Work Step by Step
In a $30^{\circ}-60^{\circ}-90^{\circ}$ triangle, the hypotenuse is two times the shorter leg. Let's write an equation to solve for $x$, the length of the shorter leg:
$6 = 2x$
Divide each side by $2$ to solve for $x$:
$x = 3$
