An oblique triangle from two sides and one angle

An oblique triangle from two sides and one angle

Secondary 2
TGM Original Questions

In \(\triangle PQR\), \(PQ=12.5\) cm, \(PR=18\) cm and \(\angle PQR=40^\circ\). The diagram shows \(\angle QPR\) is obtuse. Find

  1. \(\angle PRQ\),
  2. the area of \(\triangle PQR\). Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

Solution:

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Answer:(a) \(26.5^\circ\); (b) \(103\text{ cm}^2\) (3 s.f.).

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