4PM1/01 Jun 2024, Question 1: Area of a Triangle Using Sine
Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 1 · Calculator · 4 marks
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The question, in short
A triangle has sides 2x, 3x and 4x cm and area 50 cm². Determine x correct to two decimal places.
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Solution · 4 marks
- 1Cosine rule: (4x)² = (2x)² + (3x)² − 2 × 2x × 3x × cos ABC
- 2cos ABC = −3/12 = −1/4, so angle ABC = 104.48°
- 3Area: 50 = ½ × 2x × 3x × sin 104.48°
- 4x² = 17.213…
- 5x = 4.15
Answerx = 4.15
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