Question 256480
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?
<pre><font size = 4 color = "indigo"><b>
Rule for all 30°-60°-90° triangles:

1.  The hypotenuse is twice the shorter leg.
2.  The longer leg is {{{sqrt(3)}}} times the shorter leg.

So in your problem, the longer leg is {{{10sqrt(3)}}}, and
the hypotenuse is {{{2*10}}} or {{{20}}}

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 {{{sqrt(2)}}} times either leg.

Edwin</pre>