Question

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

Explanation:

Step1: Identify 30-60-90 side ratios

In a 30-60-90 triangle, sides are in ratio $1:\sqrt{3}:2$ (opposite 30°, 60°, 90°). The hypotenuse is 2× the shorter leg. Assume the 10 is the hypotenuse (longest side), then the shorter leg is $\frac{10}{2}=5$. If $x$ is the side opposite 60°, it is $5\sqrt{3}$.

Step2: Confirm the side

Since the output format is $x = [?]\sqrt{[?]}$, the values are 5 and 3.

Answer:

5√3