In XYZ, y = z = 30° and XZ = 3cm. Find YZ
- \(\frac{\sqrt{3}}{2}\) cm
- 3\(\frac{\sqrt{3}}{2}\) cm
-
3\(\sqrt{3}\) cm
- 2\(\sqrt{3}\) cm
The correct answer is: C
Explanation
Y \(\to\) 30°
X \(\to\) 120°
Z \(\to\) 30°
\(\frac{3}{\text{sin 30}}\) = \(\frac{YZ}{\text{sin 120}}\)
YZ = \(\frac{3\times \sin 120}{\sin 30}\)
\(3 \times \frac{\sqrt{3}}{2} \times 2 = 3\sqrt{3}\)