Question

What is the length of YZ in XYZ

Answer 1

AZ=12 - is hypotenuse

∠XZY=30° ⇒

$XY=\dfrac{1}{2} \times12=6$

$\text{By the Pythagorean theorem}\\YZ=\sqrt{12^2-6^2} =\sqrt{(12-6)(12+6)} =\sqrt{6\times18} =\sqrt{108} =6\sqrt{3}$