Question

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

Explanation:

Step1: Identify side ratios

In 30-60-90 triangle: short leg : long leg : hypotenuse = $1:\sqrt{3}:2$. The given side $\sqrt{3}$ is the long leg.

Step2: Find short leg length

Long leg = short leg $\times\sqrt{3}$, so short leg = $\frac{\sqrt{3}}{\sqrt{3}}=1$.

Step3: Calculate x (hypotenuse)

Hypotenuse = 2 $\times$ short leg = $2\times1=2$.

Answer:

2