Advanced Euclidean Geometry: The Cosine Rule Challenge

Advanced Euclidean Geometry: The Cosine Rule Challenge

Secondary 3

In the diagram, \(\angle BAC=54{}^\circ \), \(AB=4.2\) cm, \(AC=3.6\) cm, \(CD=5.5\) cm and \(AD=8\) cm.

Calculate

  1. the area of \(\Delta ABC\), correct to \(3\) significant figures,
  2. \(\angle ACD\), correct to \(1\) decimal place.

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Answer:(i) \(6.12\text{ cm}^2\) (ii) \(121.7^\circ\)

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