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4MA1/1F Nov 2021, Question 14: Pythagoras' Theorem

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

A right-angled triangle has legs 30 cm and h cm and hypotenuse 52 cm; calculate h, giving the answer to 3 significant figures.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 1The 52 cm side is the hypotenuse
  2. 2h² = 52² − 30² = 2704 − 900 = 1804
  3. 3h = √1804 = 42.47…
  4. 4h = 42.5 (3 s.f.)

Answer42.5

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