4MA1/2HR Jun 2025, Question 11: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Using the right-angled triangles ADE and CDB with AE = 28 cm, ED = 45 cm, AB = 21 cm and CD = 35 cm, find the area of triangle CDB to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1AD² = 28² + 45² = 2809, so AD = 53 cm
- 2BD = 53 − 21 = 32 cm
- 3BC² = 35² − 32² = 201, so BC = √201 = 14.17… cm
- 4Area = 1/2 × 32 × 14.17… = 226.8… = 227
Answer227
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