Calculating Sine Values in Scalene Triangles

Calculating Sine Values in Scalene Triangles

Secondary 3

In the diagram, \(PRS\) is a straight line, \(PQ=12\) cm, \(PR=7\) cm and \(\sin \angle QRS=\frac{4}{9}\).

Calculate the value of

  1. \(\sin \angle PRQ\),
  2. \(\sin \angle PQR\),

giving your answers as a fraction in its lowest term.

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Answer:(i) \(\frac{4}{9}\) (ii) \(\frac{7}{27}\)

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