0580/23 Oct/Nov 2024, Question 16: 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
Triangle ABC has AB = 20.3 cm, AC = 17.2 cm, BC = 11.1 cm and angle CAB = 33.14°. Find the shortest distance from C to AB.
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 C to AB, call it h
- 2sin 33.14° = h/17.2
- 3h = 17.2 × sin 33.14° = 9.403… ≈ 9.40 cm
Answer9.40 or 9.403...
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