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Find the length XZ in the triangle above.

Mathematics
JAMB 1999

Find the length XZ in the triangle above.

  • A. √7 m
  • B. √6 m
  • C. √5 m
  • D. √3 m
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Correct Answer: Option A
Explanation

XY = z,

XZ = y,

YZ = x 

y\(^2\) = z\(^2\) + x\(^2\) - 2xz cos 120
y\(^2\) = 2\(^2\) + 1\(^2\) - 2 [2 * 1] cos 120
= 4 + 1 -2 x 2 -cos(180 - 120)
= 4 + 1 - 4 [-cos 60]
= 5 - 4 [-1/2]
= 5 + 2
y\(^2\)= 7
y = √7 m


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709