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0580/13 Oct/Nov 2023, Question 7: Constructing Triangles

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 3 marks

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The question, in short

Given side LN = 7.5 cm and MN = 8 cm with LM already drawn, construct triangle LMN using only ruler and compasses, keeping the arcs, then name the triangle type.

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

Part (a) · 2 marks

With LM provided, use ruler and compasses alone to build the triangle from the two given side lengths, leaving all construction arcs visible.

  1. 1Set compasses to 7.5 cm and draw an arc centred at L
  2. 2Set compasses to 8 cm and draw an arc centred at M
  3. 3N is where the arcs cross; rule LN and MN, leaving the arcs

AnswerCorrect construction

Part (b) · 1 mark

State the mathematical term for a triangle of this kind.

  1. 1All three sides are different lengths, so the triangle is scalene

AnswerScalene

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Also searched as: 0580/13/O/N/23 · 0580_w23_qp_13 · 0580 w23 13 · question 7.
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