Similarity from an included angle

Similarity from an included angle

Secondary 3
3 marks
TGM Original Questions

Triangles \(ABC\) and \(PQR\) satisfy \(AB=6\text{ cm}\), \(AC=9\text{ cm}\), \(PQ=10\text{ cm}\), \(PR=15\text{ cm}\) and \(\angle BAC=\angle QPR=50^\circ\).

  1. Prove that \(\triangle ABC\sim\triangle PQR\).[2]
  2. Write down \(BC:QR\).[1]

Solution:

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Answer:(a) SAS (b) \(3:5\)

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