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Geometric Proofs: Establishing Triangle Similarity via Angle-Angle (AA) Criteria

Geometric Proofs: Establishing Triangle Similarity via Angle-Angle (AA) Criteria

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In the diagram, \(\angle ABC = \angle ACD\), \(AC = 6\text{ cm}\) and \(AD = 4\text{ cm}\).

  1. Show that \(\Delta ABC\) and \(\Delta ACD\) are similar.
  2. Calculate the length of \(AB\).

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Answer:\(\text{(i)}\ \triangle ABC\sim\triangle ACD\text{ (AA)}\) \(\text{(ii)}\ 9\text{ cm}\)

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