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A right triangle ABC (∠B = 90°) has BC = 12 cm and an inscribed circle of radius 3 cm. Find AB.

Class 10Tangent Lengths and IncirclesGeometry
  • A15 cm
  • B6 cm
  • C9 cm
  • D12 cm

Step-by-Step Solution

Tangent from , from . Let the tangent from A be : AB , AC . Pythagoras: . AB = 9 cm (AC = 15 cm is the hypotenuse).
Answer: C) 9 cm

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