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0580/11 Oct/Nov 2022, Question 21: Finding Missing Sides

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

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The question, in short

Triangles ABC and DEF are mathematically similar, with AB = 51 cm, DE = 6 cm and EF = 4 cm. Find the length BC.

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

Solution · 2 marks

  1. 1AB matches DE, and BC matches EF.
  2. 2BC/4 = 51/6
  3. 3Scale factor = 51 ÷ 6 = 8.5
  4. 4BC = 4 × 8.5 = 34 cm

Answer34

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