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

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

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})

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