CAIE IGCSE Mathematics Extended ruler-and-compass triangles

Practise constructing triangles from side lengths using only a ruler and compasses, with arcs shown clearly.

Syllabus
2028–2030
Objective
E4.2.2
Level
Extended

Exam points

  • construct a triangle from given side lengths, starting from the side already drawn
  • show intersecting compass arcs so the construction method earns full credit

E4.2.2 Construct a triangle, given the lengths of all sides, using a ruler and question 1

A train journey starts at 2216.
The journey takes 5 hours 52 minutes.
Find the time the train journey finishes.

ABA \longrightarrow B

In triangle ABC,AB=8 cm,AC=7 cmA B C, A B=8 \mathrm{~cm}, A C=7 \mathrm{~cm} and BC=5 cmB C=5 \mathrm{~cm}.

Using a ruler and compasses only,
The side AB has been drawn for you

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