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0580/12 Feb/Mar 2022, Question 8: Constructing Triangles

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

Measure a marked angle between two lines, then use ruler and compasses to construct a triangle with sides 9.5 cm, 8 cm and 12 cm, keeping construction arcs.

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

Part (a) · 1 mark

Measure the angle marked with an arc between the two straight lines.

  1. 1Place the protractor on the vertex with the zero line along one arm
  2. 2Angle = 40°

Answer40° (accept 38 to 42)

Part (b) · 2 marks

Construct the triangle with sides 9.5 cm, 8 cm and 12 cm using ruler and compasses only, leaving arcs; the 12 cm side is given.

  1. 1Set compasses to 9.5 cm and draw an arc from one end of the 12 cm line (as in the diagram)
  2. 2Set compasses to 8 cm and draw an arc from the other end
  3. 3Join both ends of the line to the point where the arcs cross

AnswerCorrect triangle with arcs

Stuck on a step? Read the free lesson: Constructing Triangles

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Also searched as: 0580/12/F/M/22 · 0580_m22_qp_12 · 0580 m22 12 · question 8.
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