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0580/31 May/Jun 2025, Question 21: Pythagoras' Theorem

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 3 marks

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The question, in short

A right-angled triangle ABC has its right angle at B, with AB = 52.5 cm and AC = 59.5 cm. Work out the length of side BC.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 1BC² = 59.5² − 52.5²
  2. 2= 3540.25 − 2756.25 = 784
  3. 3BC = √784 = 28 cm

Answer28

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Also searched as: 0580/31/M/J/25 · 0580_s25_qp_31 · 0580 s25 31 · question 21.
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