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4MA1/2HR Jun 2022, Question 15: Choosing Between Sine and Cosine Rules

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

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The question, in short

Using kite ABCD with AB = 6 cm, BC = 11 cm and angle ABC = 118°, calculate the kite's area, 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. 1Diagonal AC splits the kite into two equal triangles, ABC and ADC.
  2. 2Area ABC = ½ × 6 × 11 × sin 118° = 29.13…
  3. 3Kite = 2 × 29.13… = 58.27… = 58.3 cm²

Answer58.3

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