Advanced Euclidean Geometry: The Law of Cosines Challenge

Advanced Euclidean Geometry: The Law of Cosines Challenge

Secondary 3

In the diagram, \(ABC\) is a straight line such that \(AB=6.8\) cm, \(BC=17.6\) cm, \(BD=8.8\) cm and \(\angle ADB=21.3^\circ\).
Calculate

  1. \(\angle BAD\), given that \(\angle BAD\) is acute.
  2. the length of \(CD\).

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Answer:(i) \(28.0^\circ\) (ii) \(13.6\text{ cm}\)

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