0580/12 Feb/Mar 2023, Question 25: Pythagoras' Theorem
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks
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The question, in short
Two right-angled triangles share diagonal AC: ABC has AB = 39 cm, BC = 52 cm; ACD has CD = 25 cm and AD = x cm. Find x.
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Solution · 4 marks
- 1AC² = 39² + 52² = 1521 + 2704 = 4225
- 2x² + 25² = AC², so x² = 4225 − 625 = 3600
- 3x = √3600 = 60
Answer60
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