Applying Pythagoras and Trigonometry in a Multi-Triangle Figure

Applying Pythagoras and Trigonometry in a Multi-Triangle Figure

Secondary 2

In the diagram, \(ABD\) is a right-angled triangle with point \(C\) on the line \(BD\). \(AB=3\) cm, \(BC=4\) cm and \(CD=2\) cm.

Find

  1. the length of \(AC\),
  2. the ratio of \(\tan \angle ACB:\cos \angle ACB\),
  3. the angle \(CAD\).

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Answer:(a) \(5\text{ cm}\) (b) \(15:16\) (c) \(10.3^\circ\)

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