0580/41 May/Jun 2025, Question 12: Shortest Distance from a Point to a Line
Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 3 marks
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The question, in short
Triangle PQR has PQ = 12.5 cm, angle RPQ = 42° and angle PQR = 115°. Find the shortest distance from Q to PR.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Shortest distance is the perpendicular from Q to PR
- 2sin 42° = distance/12.5
- 3Distance = 12.5 × sin 42° = 8.364… ≈ 8.36 cm
Answer8.36 or 8.364…
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