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XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ...

Mathematics
JAMB 1984

XYZ is a triangle and XW is perpendicular to YZ at = W. If XZ = 5cm and WZ = 4cm, Calculate XY.

  • A. 5\(\sqrt{3}\)cm
  • B. 3\(\sqrt{5}\)cm
  • C. 3\(\sqrt{3}\)cm
  • D. 5cm
  • E. 6cm
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Correct Answer: Option B
Explanation

by Pythagoras's theorem, XW = 3cm

Also by Pythagoras theorem, XY2 = 62 + 32

XY2 = 36 + 9 = 45

XY = \(\sqrt{45} = 3 \sqrt{5}\)


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