Linked similar triangles with three parallel sides

Linked similar triangles with three parallel sides

Secondary 2
4 marks
TGM Original Questions

Optional extension

In the figure, \(PQ\parallel MN\parallel SR\). Points \(P,M,R\), \(Q,M,S\), and \(Q,N,R\) are collinear. Given \(PM=14\) cm, \(MS=4\) cm, \(SR=9\) cm, \(MN=6\) cm and \(NR=3\) cm, find

  1. \(QN\),[2]
  2. \(MR\).[2]

Solution:

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Answer:(a) \(6\text{ cm}\) (b) \(7\text{ cm}\)

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