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In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint...

Mathematics
WAEC 2020

In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT) 

  • A. \(\frac{1}{\sqrt{3}}\)
  • B. \(\frac{\sqrt{3}}{2}\)
  • C. \(\sqrt{3}\)
  • D. \(\frac{1}{2}\)
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Correct Answer: Option A
Explanation

Open photo

ZT = \(\sqrt{6^2 - 3^2}\)

ZT = \(\sqrt{27}\) = \(3\sqrt{3}\)

tan (< XZT) =  \(\frac{3}{3\sqrt{3}}\)

= - \(\frac{1}{\sqrt{3}}\)

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