Trigonometric Analysis of Non-Right Angled Triangles

Trigonometric Analysis of Non-Right Angled Triangles

Secondary 3

In the diagram, \(ABCD\) is a quadrilateral. \(BC=7\) cm, \(CD=8\) cm, \(DA=5\) cm, \(\angle BAD=102{}^\circ\) and \(\angle ABD=34.8{}^\circ\).

Find

  1. the length of \(BD\),
  2. \(\angle BCD\),
  3. the area of \(ABCD\).

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Answer:(i) \(8.57\text{ cm}\) (ii) \(69.3^\circ\) (iii) \(40.9\text{ cm}^2\)

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