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In a right triangle ABC with the right angle at C, the altitude CD cuts the hypotenuse into AD = 9 cm and DB = 16 cm. What is the radius of the incircle of triangle ABC?

Competition practiceGeometry
  • A5 cm
  • B6 cm
  • C12 cm
  • D4 cm

Step-by-Step Solution

, so cm; , so cm. For a right triangle, cm. (12 cm is )
Answer: A) 5 cm

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