Similar Triangles in an Intersecting Segments Diagram

Similar Triangles in an Intersecting Segments Diagram

Secondary 2

In the diagram below, triangle \(ABX\) is similar to triangle \(CDX\).

Given that \(AB=3\) cm, \(AX=2\)cm and \(CX=7\) cm, find

  1. the length of \(CD\),
  2. the ratio of \(DX:DB\).

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Answer:\(\text{(a)}\ 10.5\text{ cm}\) \(\text{(b)}\ 7:9\)

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