Question

this is a 30 - 60 - 90 triangle. what is the measure of x?

Explanation:

Step1: Identify side roles in 30-60-90 triangle

Hypotenuse = 18, x is adjacent to 30° (longer leg)

Step2: Apply 30-60-90 ratio rule

Longer leg = hypotenuse × $\frac{\sqrt{3}}{2}$
$x = 18 × \frac{\sqrt{3}}{2}$

Step3: Simplify the expression

$x = 9\sqrt{3}$

Answer:

$9\sqrt{3}$