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find the length XZ in the triangle



find the length XZ in the triangle
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A \(\sqrt{7m}\)
  • B \(\sqrt{6m}\)
  • C \(\sqrt{5m}\)
  • D \(\sqrt{3m}\)
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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