0580/21 Oct/Nov 2022, Question 18: The Sine Rule
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
In triangle ABC, side AB is 7 cm, angle BAC is 115° and angle ABC is 35°. Work out the length of side BC.
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Solution · 4 marks
- 1Angle C = 180 − 115 − 35 = 30°
- 2BC/sin 115 = 7/sin 30
- 3BC = 7 sin 115 ÷ sin 30
- 4= 12.7 cm
Answer12.7 or 12.68 to 12.69
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