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find the length XZ in the triangle

find the length XZ in the triangle
  • 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