4MA1/1HR Jun 2024, Question 15: Area of a Triangle Using Sine
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks
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The question, in short
An isosceles triangle EFG has equal sides EF and GF, with the angle at F equal to 130° and total area 74 cm². Calculate EF to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Area = ½ × EF × GF × sin 130°, and EF = GF
- 2½ × EF² × sin 130° = 74, so EF² = 148 ÷ sin 130°
- 3EF² = 148 ÷ 0.7660… = 193.2…
- 4EF = √193.2… = 13.9
Answer13.9
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