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In a ∆ XYZ, /YZ/ = 6cm YXZ = 60o and XYZ is a right...

Mathematics
WAEC 2003

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
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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 = \(\frac{6}{sin60^o}\)
=\(\frac{6}{\sqrt{\frac{3}{2}}}=4\sqrt{3}\)


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