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find the length XZ in the triangle

Mathematics
JAMB 1999

find the length XZ in the triangle
  • A. \(\sqrt{7m}\)
  • B. \(\sqrt{6m}\)
  • C. \(\sqrt{5m}\)
  • D. \(\sqrt{3m}\)
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Correct Answer: Option A
Explanation
xz2 = xy2 + yx2 - 2(xy) (yz) cos 120o

= 22 + 12 - 2(2) (1) cos 1202

= 4 + 1 - 4x - cos 60 = 5 - 4x - \(\frac{1}{2}\)

5 + 2 = 7

xz = \(\sqrt{7}\)m

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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