Question

this is a 30 - 60 - 90 triangle. what is the measure of x? 8 x x = ?

Explanation:

Step1: Recall 30 - 60 - 90 triangle ratio

In a 30 - 60 - 90 triangle, if the side opposite the 30 - degree angle is $a$, the side opposite the 60 - degree angle is $a\sqrt{3}$, and the hypotenuse is $2a$. Here, the side opposite the 30 - degree angle is 8, and $x$ is the hypotenuse.

Step2: Calculate the hypotenuse

Since the hypotenuse $x = 2a$ and $a = 8$, then $x=2\times8$.

Answer:

$16$