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0580/11 May/Jun 2022, Question 24: Similar Triangles

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 2 marks

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The question, in short

Two mathematically similar triangles are shown: ABC with AB = 8 cm and BC = 6 cm, and PQR with PQ = 6 cm. Calculate the length QR.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 2 marks

  1. 1PQ matches AB, so scale factor = 6 ÷ 8 = 0.75
  2. 2QR matches BC: QR = 6 × 0.75
  3. 3QR = 4.5 cm

Answer4.5

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