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4MA1/1HR Jun 2019, Question 7: Pythagoras' Theorem

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

Calculate the area of isosceles triangle ABC with equal sides AB = AC = 7.5 cm and perpendicular height 6 cm.

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

Solution · 4 marks

  1. 17.5² − 6² = 56.25 − 36 = 20.25
  2. 2√20.25 = 4.5
  3. 3Base BC = 2 × 4.5 = 9
  4. 4Area = (1/2) × base × height = (1/2) × 9 × 6 = 27

Answer27

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