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0580/43 May/Jun 2025, Question 2: Constructing Triangles

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 3 marks

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The question, in short

Using ruler and compasses only, complete a scale drawing of triangle ABC with AC = 21 m and BC = 15.9 m, scale 1 cm to 3 m, given side AB already drawn.

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

Solution · 3 marks

  1. 1Scale 1 cm to 3 m: AC = 21 ÷ 3 = 7 cm, BC = 15.9 ÷ 3 = 5.3 cm
  2. 2Compasses set to 7 cm, centre A: draw an arc
  3. 3Compasses set to 5.3 cm, centre B: draw an arc to cross the first
  4. 4Join A and B to the crossing point C

AnswerCorrect triangle constructed with AC = 7 cm and BC = 5.3 cm and intersecting arcs

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Also searched as: 0580/43/M/J/25 · 0580_s25_qp_43 · 0580 s25 43 · question 2.
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