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4024/23 May/Jun 2026, Question 12: Similar Triangles

Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks

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The question, in short

Using two similar triangles ABC and PQR with matching angles, given AC = 3.4 cm, AB = 4 cm and PQ = 18 cm, find a missing side and then an area.

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Part (a) · 2 marks

Find the length PR of the larger triangle, using the correspondence between the given sides.

  1. 1Scale factor = 18 ÷ 4 = 4.5
  2. 2PR corresponds to AC
  3. 3PR = 3.4 × 4.5 = 15.3 cm

Answer15.3

Part (b) · 2 marks

Given the larger triangle's area is 56.7 cm², work out the area of the smaller triangle.

  1. 1Area factor = (4/18)²
  2. 2Area of ABC = 56.7 × (4/18)²
  3. 3= 56.7 × 16/324 = 2.8 cm²

Answer2.8

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Also searched as: 4024/23/M/J/26 · 4024_s26_qp_23 · 4024 s26 23 · question 12.
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