0580/23 May/Jun 2021, Question 21: Shortest Distance from a Point to a Line
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
A triangle ABC has angle ACB equal to 65° and the perpendicular distance from B to side AC is 12.8 cm. Work out the length of BC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1The shortest distance is the perpendicular from B to AC
- 2sin 65° = 12.8/BC
- 3BC = 12.8 ÷ sin 65°
- 4= 14.12…
Answer14.1 or 14.12…
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