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IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q6

IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q6

IP 2

In the diagram, \(AB = 8\) cm, \(AC = 10\) cm, \(BC = 6\) cm, \(BC = CD\) and \(ACD\) is a straight line.

  1. Explain why \(\angle ABC\) is a right angle?
  2. Find the exact value of \(\cos \angle BCD\).
  3. Hence find the length of \(BD\).

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Answer:(i) \(\angle ABC=90^\circ\) (ii) \(-\frac35\) (iii) \(10.7\text{ cm}\)

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