The Cosine Code: Unlocking Missing Side Lengths

The Cosine Code: Unlocking Missing Side Lengths

Secondary 3

Triangle \(ABC\) is such that \(AB=10\) cm, \(BC=15\) cm and \(\angle ABC=40^\circ\).

Find

  1. the length \(AC\),
  2. the area of triangle \(ABC\),
  3. the perpendicular length from \(B\) to \(AC\).

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Answer:(i) \(9.76\text{ cm}\) (ii) \(48.2\text{ cm}^2\) (iii) \(9.88\text{ cm}\)

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