Lengths from two similarity scales

Lengths from two similarity scales

Secondary 2
TGM Original Questions

In \(\triangle ABC\), \(D\) lies on \(AB\), \(F\) on \(AC\), and \(E\) on \(BC\). Also \(DF\parallel BC\), \(DE\parallel AC\), \(AD:DB=2:3\), \(DF=8\) cm and \(DE=9\) cm.

  1. Name a triangle similar to \(DBE\).
  2. Find \(AC\).
  3. Find \(BE\).

Solution:

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Answer:(a) \(\triangle ABC\); (b) \(15\) cm; (c) \(12\) cm.

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