0580/21 May/Jun 2025, Question 20: Special Angles and Exact Ratios
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
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The question, in short
A right-angled triangle has a 6 cm side opposite a 30° angle and base x cm; find the exact value of x.
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Solution · 4 marks
- 1tan 30° = 6/x, and tan 30° = 1/√3
- 2x = 6 ÷ (1/√3)
- 3x = 6√3
Answer6√3
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