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In ΔXYZ, x = 1.2 cm, y = 9.1 cm and ∠Z=125°. Find the length of z, to the nearest 10th of a centimeter.

Sagot :

mhanifa

9.8 cm

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Use the Law of Cosines:

  • z² = x² + y² - 2xy cos(Z)

Substitute the given values:

  • z² = 1.2² + 9.1² - 2(1.2)(9.1)cos(125°) ≈ 96.78

Calculate z:

  • z = √96.78 ≈ 9.8 cm (rounded to the nearest tenth)

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