A right triangle with an extended base

A right triangle with an extended base

Secondary 2
4 marks
TGM Original Questions

Triangle \(PQR\) is right-angled at \(R\), with \(PR=12\) cm and \(RQ=16\) cm. The line \(QR\) is produced through \(R\) to \(S\), where \(RS=6\) cm. Find

  1. \(PS\),[2]
  2. \(\angle PQS\). [2]

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

Solution:

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Answer:(a) \(6\sqrt5\approx13.4\) cm (b) \(36.9^\circ\).

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