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WAEC Mathematics 2024 Objective — Question 23

Question 23 of 50 from the West African Examinations Council (WAEC) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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23. In the diagram, O is the centre of the circle. If |OA| = 25 cm and |AB| = 40 cm, find |OH|.

Diagram for question 23
  • A. 15 cmCorrect
  • B. 20 cm
  • C. 25 cm
  • D. 30 cm

Explanation

OH bisects AB, so AH = 20 cm. By Pythagoras: OH² = 25²-20² = 225 → OH = 15 cm.

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