Question

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

Explanation:

Step1: Recall 30 - 60 - 90 ratio

In a 30 - 60 - 90 triangle, if the hypotenuse is $c$, the side opposite the 30 - degree angle is $a$, and the side opposite the 60 - degree angle is $b$, the ratio of the sides is $a:b:c = 1:\sqrt{3}:2$. Here, assume the side opposite the 30 - degree angle has length $x$ and the hypotenuse has length 10.

Step2: Set up proportion

We know that $\frac{x}{1}=\frac{10}{2}$.

Step3: Solve for $x$

$x = 5$.

Answer:

$x = 5\sqrt{1}$