4MA1/2FR Jun 2025, Question 27: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · 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, work out 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 = 784 + 2025 = 2809
- 2AD = √2809 = 53 cm
- 3BD = 53 − 21 = 32 cm
- 4BC² = 35² − 32² = 1225 − 1024 = 201, so BC = √201 = 14.17... cm
- 5Area = 1/2 × 32 × 14.17... = 16√201 = 226.8... ≈ 227 cm²
Answer227
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