4024/12 May/Jun 2024, Question 15: Similar Triangles
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks
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The question, in short
Using the similar triangles ABC and CBD shown, with AB = 5 cm, AC = 7 cm and BC = 8 cm, work out the length BD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1Corresponding sides: AB ↔ CB and BC ↔ BD
- 2AB/BC = BC/BD, so 5/8 = 8/BD
- 3BD = 8 × 8/5 = 64/5 = 12.8 cm
Answer12.8 or 64/5
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