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0580/31 May/Jun 2025, Question 6: Constructing Triangles

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 2 marks

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The question, in short

Using ruler and compasses only, construct triangle ABC with AC = 6.4 cm and BC = 5.3 cm on the given line AB, keeping construction arcs.

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

Solution · 2 marks

  1. 1Set compasses to 6.4 cm, draw an arc centred on A
  2. 2Set compasses to 5.3 cm, draw an arc centred on B
  3. 3C is where the arcs cross above AB
  4. 4Join AC and BC with a ruler

AnswerCorrect triangle with correct arcs

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Also searched as: 0580/31/M/J/25 · 0580_s25_qp_31 · 0580 s25 31 · question 6.
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