Answer
In a $30^{\circ}-60^{\circ}$ right triangle, the hypotenuse is always two times as long as the shorter leg, and the longer leg has a length that is $\sqrt{3}$ times as long as that of the shorter leg. Also, the shorter leg is opposite the $30^{\circ}$ angle, and the longer leg is opposite the $60^{\circ}$ angle.
Work Step by Step
Using the results of parts (a) to (c), we can fill in the blanks.
In a $30^{\circ}-60^{\circ}$ right triangle, the hypotenuse is always two times as long as the shorter leg, and the longer leg has a length that is $\sqrt{3}$ times as long as that of the shorter leg. Also, the shorter leg is opposite the $30^{\circ}$ angle, and the longer leg is opposite the $60^{\circ}$ angle.
