4024/13 May/Jun 2026, Question 10: Pythagoras' Theorem
Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 5 marks
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The question, in short
Triangle ABC has D on AC with BD perpendicular to AC. Given AB = 8 cm, AD = 5 cm and BD = CD, calculate the area of triangle BCD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1BD² + 5² = 8²
- 2BD² = 64 − 25 = 39, so BD = √39
- 3CD = BD = √39
- 4Area BCD = 1/2 × √39 × √39 = 39/2
Answer39/2
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