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0580/23 Oct/Nov 2025, Question 23: Area of a Triangle Using Sine

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks

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The question, in short

Calculate the area of triangle ABC using side lengths AB = 6 cm, BC = 10 cm and included angle ABC = 30°.

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

Solution · 3 marks

  1. 1Area = 1/2 × 6 × 10 × sin 30°
  2. 2sin 30° = 1/2
  3. 3Area = 30 × 1/2 = 15 cm²

Answer15

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