The Cosine Code: Unlocking the Mystery of Side \(x\)

The Cosine Code: Unlocking the Mystery of Side \(x\)

Secondary 3

In the figure, \(\angle ADC = 90{}^\circ\), \(\angle ACD = 42{}^\circ\), \(AD = 6.5\) cm, \(AB = 13.5\) cm.

Find

  1. the length of \(CD\),
  2. the length of \(BC\),
  3. the area of triangle \(ABC\).

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Answer:(i) \(7.22\text{ cm}\) (ii) \(4.61\text{ cm}\) (iii) \(15.0\text{ cm}^2\)

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