The hypotenuse of a 30°-60°-90°
triangle has a length of 12 cm.
Which could be the length of a leg
of the triangle?

Below

Step-by-step explanation:

If you don't know Trigonometry, in a 30-60-90 triangle, the hypotenuse is always twice as long as the side opposite the 30° angle and the side opposite the 60° angle is √3 times as long as the side opposite the 30° angle.  

So, since the hypotenuse has length 12 cm,  

    side opposite 30° angle (shorter leg) = 6 cm

    side opposite 60° angle (longer leg) = 6√3 cm

2/5

step-by-step explanation: