Lengths and angles in a right trapezium

Lengths and angles in a right trapezium

Secondary 2
TGM Original Questions

\(PQRS\) is a trapezium with \(PS\parallel QR\), \(\angle SPQ=90^\circ\), \(PS=10\) cm, \(QR=6\) cm, and \(\angle PSQ=50^\circ\). Calculate

  1. \(PQ\),
  2. the perimeter,
  3. \(\angle SRQ\). 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) \(11.9\) cm; (b) \(40.5\) cm; (c) \(108.6^\circ\).

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