Question

solving problems with right triangles
in this activity, you will apply your understanding of right triangles to solve problems.
question 1
use right triangle xyz to complete the following parts.
part a
what is the length of \\(\overline{xy}\\) in \\(\triangle xyz\\)?
type the correct answer in the box. use numerals instead of words.
\\(xy = \square\\) units

Explanation:

Step1: Identify side and angle

$\overline{XZ}=12$ (hypotenuse), $\angle Z=30^\circ$, $\overline{XY}$ is opposite $\angle Z$.

Step2: Apply sine ratio

$\sin(30^\circ)=\frac{\overline{XY}}{\overline{XZ}}$

Step3: Solve for $\overline{XY}$

$\overline{XY}=\overline{XZ} \times \sin(30^\circ)=12 \times \frac{1}{2}$

Answer:

6