4MA1/2F Jun 2025, Question 27: Pythagoras' Theorem
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks
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The question, in short
Two right-angled triangles share side AB = 16 cm, with BC = 12 cm and AD = 1.5 × AC; find CD to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1AC² = 12² + 16² = 144 + 256 = 400
- 2AC = √400 = 20
- 3AD = 1.5 × 20 = 30
- 4BD² = 30² − 16² = 900 − 256 = 644
- 5BD = √644 = 25.377…
- 6CD = BD − BC = 25.377… − 12 = 13.4 cm (3 s.f.)
Answer13.4
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