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The Relationship Between Side Lengths and Interior Cosines

The Relationship Between Side Lengths and Interior Cosines

TGM Original

In the diagram, \(BCD\) is a straight line, \(BC=6\) cm, \(AC=7.9\) cm, \(AD=6.4\) cm and \(\angle ACB=130{}^\circ\).
Calculate

  1. \(AB\),
  2. area of triangle \(ABC\),
  3. the shortest distance from \(B\) to \(AC\) produced,
  4. the obtuse angle \(\angle ADC\).

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Answer:(i) \(12.6\text{ cm}\) (ii) \(18.2\text{ cm}^2\) (iii) \(4.60\text{ cm}\) (iv) \(109.0^\circ\)

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