Principles of Plane Geometry: Triangle Properties and Proofs

Principles of Plane Geometry: Triangle Properties and Proofs

Secondary 3

In the diagram, \(PCBQ\) is a straight line. \(AB=15\) cm, \(\sin \ \angle ABC=\frac{1}{2}\) and \(\sin \ \angle ACP=\frac{1}{3}\).

  1. Write down the value of \(\sin \ \angle ACB\).
  2. Calculate the length of \(AC\).

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Answer:(i) \(\frac{1}{3}\) (ii) \(22.5\text{ cm}\)

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