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4MA1/2HR Jun 2024, Question 15: Area of a Triangle Using Sine

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks

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The question, in short

Using the regular pentagon sides AB, BC, CD with BCE straight, CD = 6.5 cm and CE = 3 cm, find the area of triangle CDE to 3 significant figures.

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

Solution · 3 marks

  1. 1360 ÷ 5 = 72
  2. 2180 − 72 = 108
  3. 3angle DCE = 180 − 108 = 72
  4. 40.5 × 6.5 × 3 × sin(72) = 9.27

Answer9.27

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