Question

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

Explanation:

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

Assume hypotenuse = 8 (longest side). Short leg (opposite 30°) = $\frac{hypotenuse}{2}$, long leg (opposite 60°) = short leg × $\sqrt{3}$. Since x is adjacent to the 30° angle (long leg):
Short leg = $\frac{8}{2} = 4$

Step2: Calculate long leg (x)

$x = 4 \times \sqrt{3} = 4\sqrt{3}$

Answer:

$4\sqrt{3}$