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0580/42 May/Jun 2026, Question 3: Constructing Triangles

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 2 marks

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The question, in short

Using ruler and compasses only, construct triangle ABC with AC = 10 cm and BC = 8.5 cm, starting from the given line AB.

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

Solution · 2 marks

  1. 1Set compasses to 10 cm, centre A, draw an arc
  2. 2Set compasses to 8.5 cm, centre B, draw an arc crossing the first
  3. 3Label the crossing point C
  4. 4Join AC and BC with a ruler, leaving the arcs

AnswerCorrect triangle with arcs (AC = 10 cm, BC = 8.5 cm, accuracy ± 2 mm)

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Also searched as: 0580/42/M/J/26 · 0580_s26_qp_42 · 0580 s26 42 · question 3.
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