Applying the Sine Rule to Scalene and Right Triangles

Applying the Sine Rule to Scalene and Right Triangles

Secondary 3

In triangle \(PQR\), \(PQ = 8\) cm and \(QR = 7\) cm.

  1. Calculate \(\frac{\sin \angle PRQ}{\sin \angle QPR}\).
  2. Hence, if \(\angle QPR = 55{}^\circ\) and \(\angle PRQ\) is acute, find \(\angle PQR\).

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Answer:(i) \(\frac{8}{7}\) (ii) \(55.6^\circ\)

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