A parallel segment inside a triangle

A parallel segment inside a triangle

Secondary 2
TGM Original Questions

In \(\triangle RPB\), points \(D\) and \(C\) lie on \(RP\) and \(RB\), with \(DC\parallel PB\). Given \(RD=4\) cm, \(DP=6\) cm, \(DC=5\) cm and \(RC=7.2\) cm:

  1. name a pair of similar triangles
  2. find \(PB\)
  3. if \(RC:CB=2:3\), find \(RB\).

Solution:

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Answer:(a) \(\triangle RDC\sim\triangle RPB\); (b) \(12.5\) cm; (c) \(18\) cm.

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