Linked similar triangles with three parallel sides

Linked similar triangles with three parallel sides

Secondary 2
TGM Original Questions

In the figure, \(PQ\parallel MN\parallel SR\). Points \(P,M,R\), \(Q,M,S\), and \(Q,N,R\) are collinear. Given \(PM=12\) cm, \(MS=8\) cm, \(SR=9\) cm, \(MN=6\) cm and \(NR=4\) cm, find

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

Solution:

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Answer:(a) \(8\) cm; (b) \(6\) cm.

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