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In triangle ABC, BC = 12 cm and ∠A = 30°. What is the radius of the circle through A, B and C?

Competition practiceGeometry
  • A12 cm
  • B6 cm
  • C24 cm
  • D6√3 cm

Step-by-Step Solution

Sine rule: , so cm. (Equivalently, subtends 60° at the centre, making an equilateral triangle with the radii.)
Answer: A) 12 cm

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