CAIE IGCSE Mathematics Extended Similar Shape Lengths

Practise matching corresponding sides in similar triangles and using one consistent linear scale factor to calculate an unknown length.

Syllabus
2028–2030
Objective
E4.4.1
Level
Extended

Exam points

  • match corresponding vertices and sides before writing the proportion between two shapes
  • calculate the linear scale factor from a known pair and apply it to the unknown side

E4.4.1 Calculate lengths of similar shapes. question 1

NOT TO SCALE

NOT TO SCALE

In the diagram, S lies on PQ and T lies on PR.
ST is parallel to QR.

ST=3 cm,QR=9 cmS T=3 \mathrm{~cm}, Q R=9 \mathrm{~cm} and PS=5 cmP S=5 \mathrm{~cm}.

Work out PQ.

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