In a XYZ YZ 6cm YXZ 60o and XYZ is a right angl... - WAEC Mathematics 2003 Question
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 option: b
\(sin \theta = \frac{opp}{hyp}\
sin 60^o = \frac{|YZ|}{|XZ|}=\frac{6}{P}\
P sin 60^o = 6\
P = \frac{6}{sin60^o}\
=\frac{6}{\sqrt{\frac{3}{2}}}=4\sqrt{3}\)
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}\)
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