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4024/11 May/Jun 2024, Question 4: Constructing Triangles

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Using ruler and compasses only, construct triangle ABC with AC = 5 cm and BC = 10 cm on the given line AB, then measure angle BAC.

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

Part (a) · 2 marks

Construct triangle ABC on the provided line AB using only ruler and compasses, with AC = 5 cm and BC = 10 cm.

  1. 1Set compasses to 5 cm and draw an arc centred at A
  2. 2Set compasses to 10 cm and draw an arc centred at B
  3. 3C is where the arcs cross; join AC and BC, leaving the arcs visible

AnswerAcceptable triangle with intersecting arcs

Part (b) · 1 mark

Make an accurate drawing of triangle ABC with AC = 5 cm and BC = 10 cm, then measure angle BAC.

  1. 1Place the protractor at A along AB and read the angle between AB and AC: that is angle BAC

Answer98 (accept 96 to 101)

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

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Also searched as: 4024/11/M/J/24 · 4024_s24_qp_11 · 4024 s24 11 · question 4.
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