Nested parallel lines in a triangle

Nested parallel lines in a triangle

Secondary 2
6 marks
TGM Original Questions

Optional extension

In \(\triangle ABC\), \(D\) lies on \(AB\), \(E\) on \(CB\), and \(F\) on \(AC\). Also \(FD\parallel CB\), \(FE\parallel AB\), and \(FE\) meets \(CD\) at \(G\).

  1. Name a triangle similar to \(GFD\).[2]
  2. Name a triangle similar to \(DBC\).[2]
  3. Given \(CE=6\) cm, \(EB=4\) cm and \(BD=6\) cm, find \(GF\).[2]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Answer:(a) \(\triangle DBC\) (b) \(\triangle GFD\) (c) \(2.4\) cm.

Need help? Join our E-Maths tuition for O-Level success.

Learn more