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In a triangle XYZ, if < XYZ is 60º, XY = 3cm, and YZ =...

Mathematics
JAMB 1997

In a triangle XYZ, if < XYZ is 60º, XY = 3cm, and YZ = 4cm, calculate the length of the side XZ.

  • A. √23cm
  • B. √13cm
  • C. 2√5cm
  • D. 2√3cm
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Correct Answer: Option B
Explanation

(XZ)\(^2\) = 3\(^2\) + 4\(^2\) - 2 x 3 x 4 cos60º

= 25 - 24\(\frac{1}{2}\)

XZ = \(\sqrt{13}\)cm


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