Parallel Line in a Triangle: Naming and Using Similar Triangles

Parallel Line in a Triangle: Naming and Using Similar Triangles

Secondary 2

In the figure below (not drawn to scale), \(CD\) is parallel to \(AB\) in \(\Delta ABE\). \(AC=x\) cm, \(CE=x+3\) cm, \(AB=20\) cm and \(CD=12\) cm. All lengths shown are in cm.

  1. Name \(2\) similar triangles.
  2. Find the value of \(x\).

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Answer:\(\text{(a)}\ \triangle ABE\sim\triangle CDE\) \(\text{(b)}\ x=6\)

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