Lengths and angles in a right trapezium

Lengths and angles in a right trapezium

Secondary 2
6 marks
TGM Original Questions

Core stretch

\(PQRS\) 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]
  2. the perimeter,[2]
  3. \(\angle SRQ\). [2]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:(a) \(11.9\) cm (b) \(40.5\) cm (c) \(108.6^\circ\).

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