SOLUTION: The shorter leg of a 30°–60°–90° triangle is 10. what are the lengths of the longer leg and the hypotenuse, to the nearest tenth?

Rule for all 30°-60°-90° triangles:

1.  The hypotenuse is twice the shorter leg.
2.  The longer leg is  times the shorter leg.

So in your problem, the longer leg is , and
the hypotenuse is  or 

In case you have problems about the other special right triangle,
here are the ruse for it:

Rule for all 45°-45°-90° triangles:

1.  The two legs are equal
2.  The hypotenuse is  times either leg.

Edwin