Question

what is the length of the long leg of a 30 - 60 - 90? * 1 point x $x\sqrt{2}$ $x\sqrt{3}$ 2x

Explanation:

Step1: Recall 30 - 60 - 90 triangle side ratios

In a 30 - 60 - 90 triangle, if the side opposite the 30° angle is \(x\) (short leg), the side opposite the 60° angle (long leg) is \(x\sqrt{3}\), and the hypotenuse is \(2x\). The ratio of sides is \(1:\sqrt{3}:2\) (short leg : long leg : hypotenuse).

Answer:

\(x\sqrt{3}\)