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

Sign in to view the step-by-step solution

Please join our E Math programme to search for similar questions for more practice.

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

Need help? Join our JC Math tuition classes.

Learn more