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 opposite 30°, 60°, 90° are in ratio $1:\sqrt{3}:2$. The side $\sqrt{3}$ is opposite 60°, so the side opposite 30° is 1.

Step2: Find x (side opposite 30°)

The side labeled $\sqrt{3}$ corresponds to the $\sqrt{3}$ part of the ratio, so the side opposite 30° (x) is 1.

Answer:

1