0580/21 Oct/Nov 2021, Question 18: Area of a Triangle Using Sine
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Triangle ABC has AB = 800 m, AC = 2300 m and angle BAC = 30°. Each house needs 400 m². Find the greatest number of houses the land can hold.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Area = 1/2 × 800 × 2300 × sin 30°
- 2= 460 000 m²
- 3460 000 ÷ 400 = 1150 houses
Answer1150
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