Determining Geometric Variables using Cosine Ratios

Determining Geometric Variables using Cosine Ratios

Secondary 3

In the diagram, \(PQ=4\) cm, \(QR=6\) cm, \(\angle QSR=55{}^\circ\) and \(\angle RQS=60{}^\circ\).

Find

  1. the length of \(PR\), correct to \(3\) significant figures,
  2. the area of \(\Delta QRS\), correct to \(3\) significant figures.

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Answer:(i) \(8.72\text{ cm}\) (ii) \(17.2\text{ cm}^2\)

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