Lengths in an inner similar triangle

Lengths in an inner similar triangle

Secondary 2
6 marks
TGM Original Questions

In \(\triangle ABC\), \(P\) lies on \(AC\), \(R\) lies on \(AB\), and \(PR\parallel CB\). Given \(CP=8\) cm, \(PA=4\) cm, \(AR=6\) cm and \(BC=16\) cm:

It is given that the small and large triangles are similar.

  1. state \(AC:AP\)[2]
  2. find
    1. \(PR\), and[2]
    2. \(RB\).[2]

Solution:

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Answer:(a) \(3:1\) (b)(i) \(16/3\) cm (ii) \(12\) cm.

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