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0580/23 May/Jun 2021, Question 23: The Cosine Rule

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks

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The question, in short

Given a triangle with sides 11 cm, 10 cm and 9 cm, work out the size of its biggest angle.

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

Solution · 4 marks

  1. 1Largest angle is opposite the longest side, 11 cm
  2. 2cos θ = (10² + 9² − 11²)/(2 × 10 × 9)
  3. 3= 60/180 = 1/3
  4. 4θ = 70.5°

Answer70.5 or 70.52 to 70.53

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Also searched as: 0580/23/M/J/21 · 0580_s21_qp_23 · 0580 s21 23 · question 23.
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