The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the hypotenuse of the triangle, in units? Express your answer in simplest radical form.
The length of the hypotenuse =
[ 3/sin 30 ] * sin 60 + [3/sin 60 ] * sin 30 =
3sqrt (3) + sqrt (3) =
4sqrt (3)