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
Correct Answer: Option B
Explanation
(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}}}=4sqrt{3})