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0580/11 May/Jun 2023, Question 23: Finding Missing Sides

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

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The question, in short

Using similar right-angled triangles ABC and DEF with BC = 7.2 cm, AC = 5.6 cm and EF = 8.1 cm, calculate h, the length DF.

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

Solution · 2 marks

  1. 1Corresponding sides: AC ↔ DF and BC ↔ EF
  2. 2h/5.6 = 8.1/7.2
  3. 3h = 5.6 × 8.1 ÷ 7.2
  4. 4h = 6.3

Answer6.3

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