0580/23 May/Jun 2026, Question 19: Special Angles and Exact Ratios
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 4 marks
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The question, in short
A right-angled triangle has a horizontal side of 9 cm and a 60° angle at the top; find x, the vertical side, exactly in the form a√b.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1tan 60° = 9/x
- 2x = 9/tan 60° = 9/√3
- 39/√3 = 9√3/3
- 4x = 3√3
Answer3√3
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Also searched as: 0580/23/M/J/26 · 0580_s26_qp_23 · 0580 s26 23 · question 19.
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