In a ∆ XYZ, /YZ/ = 6cm YXZ = 60o and XYZ is a right angle. Calculate /XZ/in cm, leaving your answer in surd form
A
2√3
B
4√3
C
6√3
D
12√3
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(sin \theta = \frac{opp}{hyp}\)
sin 60^o = \(\frac{|YZ|}{|XZ|}=\frac{6}{P}\)
P sin 60^o = 6
P = \(\frac{6}{sin60^o}\)
=\(\frac{6}{\sqrt{\frac{3}{2}}}=4\sqrt{3}\)
Source: Myschool Past Questions Archive (Record #26600)