0580/22 May/Jun 2023, Question 17: Area of a Triangle Using Sine
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
A triangle has sides 92.5 cm and 71 cm meeting at acute angle x°, and its area is 2143 cm². Work out x.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 11/2 × 92.5 × 71 × sin x = 2143
- 2sin x = 2143 × 2 ÷ (92.5 × 71) = 4286 ÷ 6567.5 = 0.6526…
- 3x = sin⁻¹(0.6526…) = 40.738… ≈ 40.7
Answer40.7 or 40.73 to 40.74
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